120987561600 has 864 divisors, whose sum is σ = 473600312640. Its totient is φ = 30494361600.

The previous prime is 120987561599. The next prime is 120987561649. The reversal of 120987561600 is 6165789021.

120987561600 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 87 + 561 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 107 ways as a sum of consecutive naturals, for example, 280713385 + ... + 280713815.

It is an arithmetic number, because the mean of its divisors is an integer number (548148510).

Almost surely, 2^120987561600 is an apocalyptic number.

120987561600 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 120987561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236800156320).

120987561600 is an abundant number, since it is smaller than the sum of its proper divisors (352612751040).

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

120987561600 is an equidigital number, since it uses as much as digits as its factorization.

120987561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 120987561600 in words is "one hundred twenty billion, nine hundred eighty-seven million, five hundred sixty-one thousand, six hundred".