120540947001600 has 432 divisors, whose sum is σ = 425230943727744. Its totient is φ = 29996752896000.

The previous prime is 120540947001581. The next prime is 120540947001619. The reversal of 120540947001600 is 6100749045021.

It is an interprime number because it is at equal distance from previous prime (120540947001581) and next prime (120540947001619).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14776770 + ... + 21434430.

Almost surely, 2^{120540947001600} is an apocalyptic number.

120540947001600 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 120540947001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212615471863872).

120540947001600 is an abundant number, since it is smaller than the sum of its proper divisors (304689996726144).

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

120540947001600 is a wasteful number, since it uses less digits than its factorization.

120540947001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657754 (or 6657735 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 120540947001600 in words is "one hundred twenty trillion, five hundred forty billion, nine hundred forty-seven million, one thousand, six hundred".