22312133310000 has 400 divisors, whose sum is σ = 78324635768544. Its totient is φ = 5448554496000.

The previous prime is 22312133309981. The next prime is 22312133310073. The reversal of 22312133310000 is 1333121322.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×22312133310000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18278794 + ... + 19461206.

Almost surely, 2^{22312133310000} is an apocalyptic number.

22312133310000 is a gapful number since it is divisible by the number (20) 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 22312133310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39162317884272).

22312133310000 is an abundant number, since it is smaller than the sum of its proper divisors (56012502458544).

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

22312133310000 is a wasteful number, since it uses less digits than its factorization.

22312133310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182498 (or 1182477 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22312133310000 its reverse (1333121322), we get a palindrome (22313466431322).

The spelling of 22312133310000 in words is "twenty-two trillion, three hundred twelve billion, one hundred thirty-three million, three hundred ten thousand".