120014400432 has 90 divisors (see below), whose sum is σ = 320559755556. Its totient is φ = 38690321280.

The previous prime is 120014400427. The next prime is 120014400521. The reversal of 120014400432 is 234004410021.

It is a super-2 number, since 2×120014400432² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120014400399 and 120014400408.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 74403658 + ... + 74405270.

Almost surely, 2^120014400432 is an apocalyptic number.

120014400432 is a gapful number since it is divisible by the number (12) 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 120014400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160279877778).

120014400432 is an abundant number, since it is smaller than the sum of its proper divisors (200545355124).

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

120014400432 is an frugal number, since it uses more digits than its factorization.

120014400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Multiplying 120014400432 by its product of nonzero digits (768), we get a square (92171059531776 = 9600576²).

Adding to 120014400432 its reverse (234004410021), we get a palindrome (354018810453).

The spelling of 120014400432 in words is "one hundred twenty billion, fourteen million, four hundred thousand, four hundred thirty-two".