10001234222400 has 336 divisors, whose sum is σ = 33954043587840. Its totient is φ = 2574256742400.

The previous prime is 10001234222389. The next prime is 10001234222423. The reversal of 10001234222400 is 422243210001.

It is a congruent number.

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, 572242462 + ... + 572259938.

Almost surely, 2^{10001234222400} is an apocalyptic number.

10001234222400 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 10001234222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16977021793920).

10001234222400 is an abundant number, since it is smaller than the sum of its proper divisors (23952809365440).

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

10001234222400 is a wasteful number, since it uses less digits than its factorization.

10001234222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21642 (or 21627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10001234222400 its reverse (422243210001), we get a palindrome (10423477432401).

The spelling of 10001234222400 in words is "ten trillion, one billion, two hundred thirty-four million, two hundred twenty-two thousand, four hundred".