22153020114312 has 64 divisors (see below), whose sum is σ = 62845447161600. Its totient is φ = 7227226416960.

The previous prime is 22153020114293. The next prime is 22153020114331. The reversal of 22153020114312 is 21341102035122.

It is a happy number.

22153020114312 is a `hidden beast` number, since 2 + 2 + 1 + 530 + 2 + 0 + 114 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (22153020114293) and next prime (22153020114331).

It is a super-2 number, since 2×22153020114312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1091056639 + ... + 1091076942.

It is an arithmetic number, because the mean of its divisors is an integer number (981960111900).

Almost surely, 2^{22153020114312} is an apocalyptic number.

It is an amenable number.

22153020114312 is an abundant number, since it is smaller than the sum of its proper divisors (40692427047288).

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

22153020114312 is a wasteful number, since it uses less digits than its factorization.

22153020114312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182133643 (or 2182133633 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 22153020114312 its reverse (21341102035122), we get a palindrome (43494122149434).

The spelling of 22153020114312 in words is "twenty-two trillion, one hundred fifty-three billion, twenty million, one hundred fourteen thousand, three hundred twelve".