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12021122233100 = 22521447622913337
BaseRepresentation
bin1010111011101110001010…
…1110000111001100001100
31120120012121200021201110002
42232323202232013030030
53033423224242424400
641322232144503432
72350332421022021
oct256734256071414
946505550251402
1012021122233100
1139151471241a2
12142193561ab78
13692782730b76
142d7b7ad4d548
1515ca6c464ed5
hexaeee2b8730c

12021122233100 has 72 divisors (see below), whose sum is σ = 26110011039840. Its totient is φ = 4803994206720.

The previous prime is 12021122233091. The next prime is 12021122233103. The reversal of 12021122233100 is 133222112021.

It is a super-2 number, since 2×120211222331002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12021122233103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901329632 + ... + 901342968.

It is an arithmetic number, because the mean of its divisors is an integer number (362639042220).

Almost surely, 212021122233100 is an apocalyptic number.

12021122233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021122233100 is an abundant number, since it is smaller than the sum of its proper divisors (14088888806740).

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

12021122233100 is a wasteful number, since it uses less digits than its factorization.

12021122233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21027 (or 21020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12021122233100 its reverse (133222112021), we get a palindrome (12154344345121).

The spelling of 12021122233100 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1447 2894 5788 6229 7235 12458 13337 14470 24916 26674 28940 31145 36175 53348 62290 66685 72350 124580 133370 144700 155725 266740 311450 333425 622900 666850 1333700 9013363 18026726 19298639 36053452 38597278 45066815 77194556 83076173 90133630 96493195 166152346 180267260 192986390 225334075 332304692 385972780 415380865 450668150 482465975 830761730 901336300 964931950 1661523460 1929863900 2076904325 4153808650 8307617300 120211222331 240422444662 480844889324 601056111655 1202112223310 2404224446620 3005280558275 6010561116550 12021122233100