12400920 has 288 divisors, whose sum is σ = 50684400. Its totient is φ = 2612736.

The previous prime is 12400909. The next prime is 12400943. The reversal of 12400920 is 2900421.

12400920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12400893 and 12400902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335142 + ... + 335178.

Almost surely, 2^12400920 is an apocalyptic number.

12400920 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 12400920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25342200).

12400920 is an abundant number, since it is smaller than the sum of its proper divisors (38283480).

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

12400920 is a wasteful number, since it uses less digits than its factorization.

12400920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12400920 is about 3521.4940011308. The cubic root of 12400920 is about 231.4646295635.

The spelling of 12400920 in words is "twelve million, four hundred thousand, nine hundred twenty".