10122400456 has 64 divisors (see below), whose sum is σ = 22488036480. Its totient is φ = 4181291520.

The previous prime is 10122400391. The next prime is 10122400513. The reversal of 10122400456 is 65400422101.

It is a happy number.

10122400456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10122400456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164010 + ... + 217126.

It is an arithmetic number, because the mean of its divisors is an integer number (351375570).

Almost surely, 2^10122400456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244018240).

10122400456 is an abundant number, since it is smaller than the sum of its proper divisors (12365636024).

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

10122400456 is a wasteful number, since it uses less digits than its factorization.

10122400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53254 (or 53250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10122400456 its reverse (65400422101), we get a palindrome (75522822557).

The spelling of 10122400456 in words is "ten billion, one hundred twenty-two million, four hundred thousand, four hundred fifty-six".