120610162012200 has 384 divisors, whose sum is σ = 458973778560000. Its totient is φ = 26117086867200.

The previous prime is 120610162012199. The next prime is 120610162012309. The reversal of 120610162012200 is 2210261016021.

120610162012200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120610162012200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11512306 + ... + 19332705.

It is an arithmetic number, because the mean of its divisors is an integer number (1195244215000).

Almost surely, 2^{120610162012200} is an apocalyptic number.

120610162012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120610162012200 is an abundant number, since it is smaller than the sum of its proper divisors (338363616547800).

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

120610162012200 is a wasteful number, since it uses less digits than its factorization.

120610162012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30845070 (or 30845047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 120610162012200 in words is "one hundred twenty trillion, six hundred ten billion, one hundred sixty-two million, twelve thousand, two hundred".