12451920 has 120 divisors (see below), whose sum is σ = 41934816. Its totient is φ = 3055104.

The previous prime is 12451919. The next prime is 12451921. The reversal of 12451920 is 2915421.

It is an interprime number because it is at equal distance from previous prime (12451919) and next prime (12451921).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12451921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40407 + ... + 40713.

Almost surely, 2^12451920 is an apocalyptic number.

12451920 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 12451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20967408).

12451920 is an abundant number, since it is smaller than the sum of its proper divisors (29482896).

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

12451920 is a wasteful number, since it uses less digits than its factorization.

12451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 12451920 is about 3528.7278160833. The cubic root of 12451920 is about 231.7815025677.

The spelling of 12451920 in words is "twelve million, four hundred fifty-one thousand, nine hundred twenty".