120420014000 has 160 divisors (see below), whose sum is σ = 342081230400. Its totient is φ = 40420608000.

The previous prime is 120420013991. The next prime is 120420014021. The reversal of 120420014000 is 410024021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75476 + ... + 496524.

It is an arithmetic number, because the mean of its divisors is an integer number (2138007690).

Almost surely, 2^120420014000 is an apocalyptic number.

120420014000 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 120420014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171040615200).

120420014000 is an abundant number, since it is smaller than the sum of its proper divisors (221661216400).

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

120420014000 is a wasteful number, since it uses less digits than its factorization.

120420014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421096 (or 421080 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120420014000 its reverse (410024021), we get a palindrome (120830038021).

The spelling of 120420014000 in words is "one hundred twenty billion, four hundred twenty million, fourteen thousand".