12538401 has 8 divisors (see below), whose sum is σ = 17701344. Its totient is φ = 7867200.

The previous prime is 12538399. The next prime is 12538417. The reversal of 12538401 is 10483521.

12538401 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 sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12538401 - 2¹ = 12538399 is a prime.

It is a super-2 number, since 2×12538401² = 314422999273602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12538481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122875 + ... + 122976.

It is an arithmetic number, because the mean of its divisors is an integer number (2212668).

Almost surely, 2^12538401 is an apocalyptic number.

12538401 is the 2240-th centered pentagonal number.

It is an amenable number.

12538401 is a deficient number, since it is larger than the sum of its proper divisors (5162943).

12538401 is a wasteful number, since it uses less digits than its factorization.

12538401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245871.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12538401 is about 3540.9604629253. The cubic root of 12538401 is about 232.3168542666.

The spelling of 12538401 in words is "twelve million, five hundred thirty-eight thousand, four hundred one".