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11212111211000 = 2353714957107089
BaseRepresentation
bin1010001100101000010111…
…1001111110100111111000
31110200212102022022121222012
42203022011321332213320
52432144400432223000
635502434530545052
72235022365551360
oct243120571764770
943625368277865
1011212111211000
1136330365301a7
121310b95438188
136343b394536b
142aa951d439a0
151469bd01a735
hexa3285e7e9f8

11212111211000 has 128 divisors (see below), whose sum is σ = 29986673558400. Its totient is φ = 3843859507200.

The previous prime is 11212111210999. The next prime is 11212111211009. The reversal of 11212111211000 is 11211121211.

It is a super-2 number, since 2×112121112110002 (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 not an unprimeable number, because it can be changed into a prime (11212111211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104645456 + ... + 104752544.

It is an arithmetic number, because the mean of its divisors is an integer number (234270887175).

Almost surely, 211212111211000 is an apocalyptic number.

11212111211000 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 11212111211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993336779200).

11212111211000 is an abundant number, since it is smaller than the sum of its proper divisors (18774562347400).

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

11212111211000 is a wasteful number, since it uses less digits than its factorization.

11212111211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122074 (or 122060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11212111211000 its reverse (11211121211), we get a palindrome (11223322332211).

The spelling of 11212111211000 in words is "eleven trillion, two hundred twelve billion, one hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 14957 29914 59828 74785 104699 107089 119656 149570 209398 214178 299140 373925 418796 428356 523495 535445 598280 747850 749623 837592 856712 1046990 1070890 1495700 1499246 1869625 2093980 2141780 2617475 2677225 2991400 2998492 3739250 3748115 4187960 4283560 5234950 5354450 5996984 7478500 7496230 10469900 10708900 13087375 13386125 14957000 14992460 18740575 20939800 21417800 26174750 26772250 29984920 37481150 52349500 53544500 74962300 93702875 104699000 107089000 149924600 187405750 374811500 749623000 1601730173 3203460346 6406920692 8008650865 11212111211 12813841384 16017301730 22424222422 32034603460 40043254325 44848444844 56060556055 64069206920 80086508650 89696889688 112121112110 160173017300 200216271625 224242224220 280302780275 320346034600 400432543250 448484448440 560605560550 800865086500 1121211121100 1401513901375 1601730173000 2242422242200 2803027802750 5606055605500 11212111211000