22312034002000 has 80 divisors (see below), whose sum is σ = 55408619974032. Its totient is φ = 8683602393600.

The previous prime is 22312034001997. The next prime is 22312034002057. The reversal of 22312034002000 is 20043021322.

It can be written as a sum of positive squares in 8 ways, for example, as 5252127229504 + 17059906772496 = 2291752^2 + 4130364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22312034002000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150682987 + ... + 150830986.

Almost surely, 2^{22312034002000} is an apocalyptic number.

22312034002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312034002000 is an abundant number, since it is smaller than the sum of its proper divisors (33096585972032).

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

22312034002000 is a wasteful number, since it uses less digits than its factorization.

22312034002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301514033 (or 301514017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22312034002000 its reverse (20043021322), we get a palindrome (22332077023322).

The spelling of 22312034002000 in words is "twenty-two trillion, three hundred twelve billion, thirty-four million, two thousand".