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12070010152200 = 2335272111331372503
BaseRepresentation
bin1010111110100100010010…
…1010101110010100001000
31120201212210202112022212110
42233221010222232110020
53040223340044332300
641400515222342320
72354013050334300
oct257510452562410
946655722468773
1012070010152200
113933954080420
12142b2b9b8a9a0
13697273c80150
142da297ab8600
1515de7e389550
hexafa44aae508

12070010152200 has 2304 divisors, whose sum is σ = 54233168855040. Its totient is φ = 2179021824000.

The previous prime is 12070010152177. The next prime is 12070010152243. The reversal of 12070010152200 is 225101007021.

It is a super-2 number, since 2×120700101522002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4822216149 + ... + 4822218651.

It is an arithmetic number, because the mean of its divisors is an integer number (23538701760).

Almost surely, 212070010152200 is an apocalyptic number.

12070010152200 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 12070010152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27116584427520).

12070010152200 is an abundant number, since it is smaller than the sum of its proper divisors (42163158702840).

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

12070010152200 is a wasteful number, since it uses less digits than its factorization.

12070010152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 12070010152200 its reverse (225101007021), we get a palindrome (12295111159221).

The spelling of 12070010152200 in words is "twelve trillion, seventy billion, ten million, one hundred fifty-two thousand, two hundred".