120097845504 has 576 divisors, whose sum is σ = 447865582080. Its totient is φ = 30894981120.

The previous prime is 120097845487. The next prime is 120097845509. The reversal of 120097845504 is 405548790021.

120097845504 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 97 + 8 + 4 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 120097845504.

It is not an unprimeable number, because it can be changed into a prime (120097845509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25786344 + ... + 25791000.

Almost surely, 2^120097845504 is an apocalyptic number.

120097845504 is a gapful number since it is divisible by the number (14) 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 120097845504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223932791040).

120097845504 is an abundant number, since it is smaller than the sum of its proper divisors (327767736576).

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

120097845504 is a wasteful number, since it uses less digits than its factorization.

120097845504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 120097845504 in words is "one hundred twenty billion, ninety-seven million, eight hundred forty-five thousand, five hundred four".