22201231410400 has 144 divisors (see below), whose sum is σ = 61945464299040. Its totient is φ = 7611355699200.

The previous prime is 22201231410383. The next prime is 22201231410409. The reversal of 22201231410400 is 401413210222.

It is a super-2 number, since 2×22201231410400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201231410409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91836886 + ... + 92078314.

It is an arithmetic number, because the mean of its divisors is an integer number (430176835410).

Almost surely, 2^{22201231410400} is an apocalyptic number.

22201231410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201231410400 is an abundant number, since it is smaller than the sum of its proper divisors (39744232888640).

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

22201231410400 is a wasteful number, since it uses less digits than its factorization.

22201231410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257877 (or 257864 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22201231410400 its reverse (401413210222), we get a palindrome (22602644620622).

The spelling of 22201231410400 in words is "twenty-two trillion, two hundred one billion, two hundred thirty-one million, four hundred ten thousand, four hundred".