120431920 has 80 divisors (see below), whose sum is σ = 323104320. Its totient is φ = 40891392.

The previous prime is 120431917. The next prime is 120431923. The reversal of 120431920 is 29134021.

It is an interprime number because it is at equal distance from previous prime (120431917) and next prime (120431923).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 120431891 and 120431900.

It is not an unprimeable number, because it can be changed into a prime (120431923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60054 + ... + 62026.

It is an arithmetic number, because the mean of its divisors is an integer number (4038804).

Almost surely, 2^120431920 is an apocalyptic number.

120431920 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 120431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161552160).

120431920 is an abundant number, since it is smaller than the sum of its proper divisors (202672400).

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

120431920 is a wasteful number, since it uses less digits than its factorization.

120431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 120431920 is about 10974.1478029048. The cubic root of 120431920 is about 493.8334875648.

Adding to 120431920 its reverse (29134021), we get a palindrome (149565941).

It can be divided in two parts, 1204 and 31920, that added together give a square (33124 = 182²).

The spelling of 120431920 in words is "one hundred twenty million, four hundred thirty-one thousand, nine hundred twenty".