10120561525152 has 72 divisors (see below), whose sum is σ = 30994219682244. Its totient is φ = 3114018929664.

The previous prime is 10120561525147. The next prime is 10120561525159. The reversal of 10120561525152 is 25152516502101.

10120561525152 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 5 + 615 + 25 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10119804394896 + 757130256 = 3181164^2 + 27516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (10120561525159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1351566973 + ... + 1351574460.

Almost surely, 2^{10120561525152} is an apocalyptic number.

10120561525152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120561525152 is an abundant number, since it is smaller than the sum of its proper divisors (20873658157092).

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

10120561525152 is a wasteful number, since it uses less digits than its factorization.

10120561525152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703141462 (or 2703141451 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 10120561525152 in words is "ten trillion, one hundred twenty billion, five hundred sixty-one million, five hundred twenty-five thousand, one hundred fifty-two".