120907797120 has 1536 divisors, whose sum is σ = 519461683200. Its totient is φ = 26320896000.

The previous prime is 120907797119. The next prime is 120907797133. The reversal of 120907797120 is 21797709021.

It is a happy number.

It is a super-2 number, since 2×120907797120² (a number of 23 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1702926685 + ... + 1702926755.

It is an arithmetic number, because the mean of its divisors is an integer number (338191200).

Almost surely, 2^120907797120 is an apocalyptic number.

120907797120 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 120907797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259730841600).

120907797120 is an abundant number, since it is smaller than the sum of its proper divisors (398553886080).

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

120907797120 is a wasteful number, since it uses less digits than its factorization.

120907797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 120907797120 in words is "one hundred twenty billion, nine hundred seven million, seven hundred ninety-seven thousand, one hundred twenty".