120618560462400 has 4032 divisors, whose sum is σ = 617566553210880. Its totient is φ = 22335757516800.

The previous prime is 120618560462377. The next prime is 120618560462417. The reversal of 120618560462400 is 4264065816021.

It is a happy number.

120618560462400 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 8 + 560 + 46 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11286469857 + ... + 11286480543.

It is an arithmetic number, because the mean of its divisors is an integer number (153166307840).

Almost surely, 2^{120618560462400} is an apocalyptic number.

120618560462400 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 120618560462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308783276605440).

120618560462400 is an abundant number, since it is smaller than the sum of its proper divisors (496947992748480).

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

120618560462400 is a wasteful number, since it uses less digits than its factorization.

120618560462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 120618560462400 in words is "one hundred twenty trillion, six hundred eighteen billion, five hundred sixty million, four hundred sixty-two thousand, four hundred".