12010617120 has 48 divisors (see below), whose sum is σ = 37833445440. Its totient is φ = 3202831104.

The previous prime is 12010617109. The next prime is 12010617137. The reversal of 12010617120 is 2171601021.

It is a happy number.

12010617120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12510580 + ... + 12511539.

It is an arithmetic number, because the mean of its divisors is an integer number (788196780).

Almost surely, 2^12010617120 is an apocalyptic number.

12010617120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010617120 is an abundant number, since it is smaller than the sum of its proper divisors (25822828320).

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

12010617120 is a wasteful number, since it uses less digits than its factorization.

12010617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022137 (or 25022129 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The spelling of 12010617120 in words is "twelve billion, ten million, six hundred seventeen thousand, one hundred twenty".