10122400024 has 96 divisors (see below), whose sum is σ = 22171406400. Its totient is φ = 4284835200.

The previous prime is 10122400007. The next prime is 10122400051. The reversal of 10122400024 is 42000422101.

It is a junction number, because it is equal to n+sod(n) for n = 10122399980 and 10122400007.

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, 6220699 + ... + 6222325.

It is an arithmetic number, because the mean of its divisors is an integer number (230952150).

Almost surely, 2^10122400024 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 10122400024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085703200).

10122400024 is an abundant number, since it is smaller than the sum of its proper divisors (12049006376).

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

10122400024 is a wasteful number, since it uses less digits than its factorization.

10122400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10122400024 its reverse (42000422101), we get a palindrome (52122822125).

The spelling of 10122400024 in words is "ten billion, one hundred twenty-two million, four hundred thousand, twenty-four".