120758246280 has 512 divisors, whose sum is σ = 473122944000. Its totient is φ = 26821877760.

The previous prime is 120758246237. The next prime is 120758246327. The reversal of 120758246280 is 82642857021.

120758246280 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 582 + 4 + 62 + 8 + 0 = 666.

It is a super-2 number, since 2×120758246280² (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 127 ways as a sum of consecutive naturals, for example, 98256706 + ... + 98257934.

It is an arithmetic number, because the mean of its divisors is an integer number (924068250).

Almost surely, 2^120758246280 is an apocalyptic number.

120758246280 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 120758246280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236561472000).

120758246280 is an abundant number, since it is smaller than the sum of its proper divisors (352364697720).

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

120758246280 is a wasteful number, since it uses less digits than its factorization.

120758246280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 120758246280 in words is "one hundred twenty billion, seven hundred fifty-eight million, two hundred forty-six thousand, two hundred eighty".