22139112707712 has 1152 divisors, whose sum is σ = 88259955376320. Its totient is φ = 5235226214400.

The previous prime is 22139112707659. The next prime is 22139112707771. The reversal of 22139112707712 is 21770721193122.

22139112707712 is a `hidden beast` number, since 2 + 213 + 91 + 1 + 270 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22139112707712² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 589241887 + ... + 589279457.

Almost surely, 2^{22139112707712} is an apocalyptic number.

22139112707712 is a gapful number since it is divisible by the number (22) 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 22139112707712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44129977688160).

22139112707712 is an abundant number, since it is smaller than the sum of its proper divisors (66120842668608).

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

22139112707712 is a wasteful number, since it uses less digits than its factorization.

22139112707712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37702 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 22139112707712 in words is "twenty-two trillion, one hundred thirty-nine billion, one hundred twelve million, seven hundred seven thousand, seven hundred twelve".