10123241400 has 72 divisors (see below), whose sum is σ = 33997225080. Its totient is φ = 2699530560.

The previous prime is 10123241399. The next prime is 10123241411. The reversal of 10123241400 is 414232101.

10123241400 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 241 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2810212 + ... + 2813811.

Almost surely, 2^10123241400 is an apocalyptic number.

10123241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123241400 is an abundant number, since it is smaller than the sum of its proper divisors (23873983680).

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

10123241400 is a wasteful number, since it uses less digits than its factorization.

10123241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624045 (or 5624033 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10123241400 its reverse (414232101), we get a palindrome (10537473501).

The spelling of 10123241400 in words is "ten billion, one hundred twenty-three million, two hundred forty-one thousand, four hundred".