13121400 has 96 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3312000.

The previous prime is 13121371. The next prime is 13121411. The reversal of 13121400 is 412131.

It is a happy number.

13121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13121400² = 344342275920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10825 + ... + 11975.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 2^13121400 is an apocalyptic number.

13121400 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 13121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

13121400 is an abundant number, since it is smaller than the sum of its proper divisors (29733000).

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

13121400 is a wasteful number, since it uses less digits than its factorization.

13121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13121400 is about 3622.3473052704. The cubic root of 13121400 is about 235.8631304427.

Adding to 13121400 its reverse (412131), we get a palindrome (13533531).

The spelling of 13121400 in words is "thirteen million, one hundred twenty-one thousand, four hundred".