120414920 has 32 divisors (see below), whose sum is σ = 272515320. Its totient is φ = 47884800.

The previous prime is 120414919. The next prime is 120414941. The reversal of 120414920 is 29414021.

It can be written as a sum of positive squares in 4 ways, for example, as 116596804 + 3818116 = 10798^2 + 1954^2 .

It is a nialpdrome in base 15.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1781 + ... + 15620.

Almost surely, 2^120414920 is an apocalyptic number.

120414920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120414920 is an abundant number, since it is smaller than the sum of its proper divisors (152100400).

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

120414920 is a wasteful number, since it uses less digits than its factorization.

120414920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17585 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 120414920 is about 10973.3732279550. The cubic root of 120414920 is about 493.8102501918.

Adding to 120414920 its reverse (29414021), we get a palindrome (149828941).

It can be divided in two parts, 12041 and 4920, that added together give a palindrome (16961).

The spelling of 120414920 in words is "one hundred twenty million, four hundred fourteen thousand, nine hundred twenty".