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11121202022000 = 245374991591927
BaseRepresentation
bin1010000111010101101101…
…0010111100011001110000
31110101011202200122100000012
42201311123102330121300
52424202210204201000
635353002031314052
72225323516315130
oct241653322743160
943334680570005
1011121202022000
1135a8525680a44
1212b744407b928
13628956660035
142a63aa3b6ac0
1514444be49735
hexa1d5b4bc670

11121202022000 has 160 divisors (see below), whose sum is σ = 30794255232000. Its totient is φ = 3805339910400.

The previous prime is 11121202021997. The next prime is 11121202022011. The reversal of 11121202022000 is 22020212111.

11121202022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111212020220002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6190037 + ... + 7781963.

It is an arithmetic number, because the mean of its divisors is an integer number (192464095200).

Almost surely, 211121202022000 is an apocalyptic number.

11121202022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397127616000).

11121202022000 is an abundant number, since it is smaller than the sum of its proper divisors (19673053210000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121202022000 is a wasteful number, since it uses less digits than its factorization.

11121202022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592456 (or 1592440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11121202022000 its reverse (22020212111), we get a palindrome (11143222234111).

The spelling of 11121202022000 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 499 500 560 700 875 998 1000 1400 1750 1996 2000 2495 2800 3493 3500 3992 4990 6986 7000 7984 9980 12475 13972 14000 17465 19960 24950 27944 34930 39920 49900 55888 62375 69860 87325 99800 124750 139720 174650 199600 249500 279440 349300 436625 499000 698600 873250 998000 1397200 1591927 1746500 3183854 3493000 6367708 6986000 7959635 11143489 12735416 15919270 22286978 25470832 31838540 39798175 44573956 55717445 63677080 79596350 89147912 111434890 127354160 159192700 178295824 198990875 222869780 278587225 318385400 397981750 445739560 557174450 636770800 794371573 795963500 891479120 1114348900 1392936125 1588743146 1591927000 2228697800 2785872250 3177486292 3183854000 3971857865 4457395600 5560601011 5571744500 6354972584 7943715730 11121202022 11143489000 12709945168 15887431460 19859289325 22242404044 22286978000 27803005055 31774862920 39718578650 44484808088 55606010110 63549725840 79437157300 88969616176 99296446625 111212020220 139015025275 158874314600 198592893250 222424040440 278030050550 317748629200 397185786500 444848080880 556060101100 695075126375 794371573000 1112120202200 1390150252750 1588743146000 2224240404400 2780300505500 5560601011000 11121202022000