120987648000 has 544 divisors, whose sum is σ = 448199905920. Its totient is φ = 32204390400.

The previous prime is 120987647999. The next prime is 120987648017. The reversal of 120987648000 is 846789021.

120987648000 is a `hidden beast` number, since 12 + 0 + 98 + 76 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221183727 + ... + 221184273.

Almost surely, 2^120987648000 is an apocalyptic number.

120987648000 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 120987648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224099952960).

120987648000 is an abundant number, since it is smaller than the sum of its proper divisors (327212257920).

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

120987648000 is an frugal number, since it uses more digits than its factorization.

120987648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 120987648000 in words is "one hundred twenty billion, nine hundred eighty-seven million, six hundred forty-eight thousand".