22100023312000 has 128 divisors (see below), whose sum is σ = 55490208630480. Its totient is φ = 8752483840000.

The previous prime is 22100023311997. The next prime is 22100023312021. The reversal of 22100023312000 is 21332000122.

It can be written as a sum of positive squares in 8 ways, for example, as 2326064220736 + 19773959091264 = 1525144^2 + 4446792^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×22100023312000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 5221879 + ... + 8453878.

Almost surely, 2^{22100023312000} is an apocalyptic number.

22100023312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100023312000 is an abundant number, since it is smaller than the sum of its proper divisors (33390185318480).

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

22100023312000 is a wasteful number, since it uses less digits than its factorization.

22100023312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675887 (or 13675865 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22100023312000 its reverse (21332000122), we get a palindrome (22121355312122).

The spelling of 22100023312000 in words is "twenty-two trillion, one hundred billion, twenty-three million, three hundred twelve thousand".