12142501056 has 252 divisors, whose sum is σ = 42869879208. Its totient is φ = 3265081344.

The previous prime is 12142501013. The next prime is 12142501061. The reversal of 12142501056 is 65010524121.

12142501056 is a `hidden beast` number, since 12 + 142 + 501 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×12142501056² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 467155 + ... + 492461.

Almost surely, 2^12142501056 is an apocalyptic number.

12142501056 is a gapful number since it is divisible by the number (16) 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 12142501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21434939604).

12142501056 is an abundant number, since it is smaller than the sum of its proper divisors (30727378152).

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

12142501056 is a wasteful number, since it uses less digits than its factorization.

12142501056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25356 (or 25336 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 12142501056 in words is "twelve billion, one hundred forty-two million, five hundred one thousand, fifty-six".