120077572156200 has 288 divisors, whose sum is σ = 408859267939200. Its totient is φ = 31577100871680.

The previous prime is 120077572156189. The next prime is 120077572156211. The reversal of 120077572156200 is 2651275770021.

120077572156200 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 7 + 5 + 7 + 2 + 15 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (120077572156189) and next prime (120077572156211).

It is a super-3 number, since 3×120077572156200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117088864 + ... + 118109936.

It is an arithmetic number, because the mean of its divisors is an integer number (1419650235900).

Almost surely, 2^{120077572156200} is an apocalyptic number.

120077572156200 is a gapful number since it is divisible by the number (10) 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 120077572156200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204429633969600).

120077572156200 is an abundant number, since it is smaller than the sum of its proper divisors (288781695783000).

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

120077572156200 is a wasteful number, since it uses less digits than its factorization.

120077572156200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022001 (or 1021989 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 120077572156200 in words is "one hundred twenty trillion, seventy-seven billion, five hundred seventy-two million, one hundred fifty-six thousand, two hundred".