120854410013120 has 672 divisors, whose sum is σ = 352468481963328. Its totient is φ = 39310933229568.

The previous prime is 120854410013119. The next prime is 120854410013137. The reversal of 120854410013120 is 21310014458021.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5011990184 + ... + 5012014296.

Almost surely, 2^{120854410013120} is an apocalyptic number.

120854410013120 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 120854410013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176234240981664).

120854410013120 is an abundant number, since it is smaller than the sum of its proper divisors (231614071950208).

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

120854410013120 is a wasteful number, since it uses less digits than its factorization.

120854410013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24397 (or 24380 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 120854410013120 in words is "one hundred twenty trillion, eight hundred fifty-four billion, four hundred ten million, thirteen thousand, one hundred twenty".