10124233222400 has 432 divisors, whose sum is σ = 27657899364480. Its totient is φ = 3638521036800.

The previous prime is 10124233222351. The next prime is 10124233222429. The reversal of 10124233222400 is 422233242101.

It is a self number, because there is not a number n which added to its sum of digits gives 10124233222400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3506833757 + ... + 3506836643.

Almost surely, 2^{10124233222400} is an apocalyptic number.

10124233222400 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 10124233222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828949682240).

10124233222400 is an abundant number, since it is smaller than the sum of its proper divisors (17533666142080).

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

10124233222400 is a wasteful number, since it uses less digits than its factorization.

10124233222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10124233222400 its reverse (422233242101), we get a palindrome (10546466464501).

The spelling of 10124233222400 in words is "ten trillion, one hundred twenty-four billion, two hundred thirty-three million, two hundred twenty-two thousand, four hundred".