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12043031148252 = 2236131723672181
BaseRepresentation
bin1010111100111111110010…
…0101111111011011011100
31120122022011112202221000000
42233033330211333123130
53034303111433221002
641340254144534300
72352036352516146
oct257177445773334
946568145687000
1012043031148252
11392346a138445
12142602a921390
136948647411a0
142d8c5897dc96
1515d400aa061c
hexaf3fc97f6dc

12043031148252 has 1008 divisors, whose sum is σ = 38377828786752. Its totient is φ = 3267995258880.

The previous prime is 12043031148251. The next prime is 12043031148277. The reversal of 12043031148252 is 25284113034021.

12043031148252 is a `hidden beast` number, since 1 + 2 + 0 + 430 + 31 + 148 + 2 + 52 = 666.

It is a super-3 number, since 3×120430311482523 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12043031148251) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 66536083602 + ... + 66536083782.

It is an arithmetic number, because the mean of its divisors is an integer number (38073242844).

Almost surely, 212043031148252 is an apocalyptic number.

12043031148252 is a gapful number since it is divisible by the number (12) 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 12043031148252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19188914393376).

12043031148252 is an abundant number, since it is smaller than the sum of its proper divisors (26334797638500).

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

12043031148252 is a wasteful number, since it uses less digits than its factorization.

12043031148252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12043031148252 in words is "twelve trillion, forty-three billion, thirty-one million, one hundred forty-eight thousand, two hundred fifty-two".