120855905280 has 1408 divisors, whose sum is σ = 509359104000. Its totient is φ = 26860584960.

The previous prime is 120855905243. The next prime is 120855905329. The reversal of 120855905280 is 82509558021.

It is a happy number.

120855905280 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 5 + 590 + 52 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×120855905280² (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, 1357931476 + ... + 1357931564.

Almost surely, 2^120855905280 is an apocalyptic number.

120855905280 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 120855905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254679552000).

120855905280 is an abundant number, since it is smaller than the sum of its proper divisors (388503198720).

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

120855905280 is a wasteful number, since it uses less digits than its factorization.

120855905280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 120855905280 in words is "one hundred twenty billion, eight hundred fifty-five million, nine hundred five thousand, two hundred eighty".