22442505026112 has 112 divisors (see below), whose sum is σ = 66007635523200. Its totient is φ = 7477339691520.

The previous prime is 22442505026107. The next prime is 22442505026113. The reversal of 22442505026112 is 21162050524422.

22442505026112 is a `hidden beast` number, since 2 + 2 + 4 + 42 + 50 + 502 + 61 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22442505026113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666589 + ... + 6732707.

It is an arithmetic number, because the mean of its divisors is an integer number (589353888600).

Almost surely, 2^{22442505026112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442505026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33003817761600).

22442505026112 is an abundant number, since it is smaller than the sum of its proper divisors (43565130497088).

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

22442505026112 is a wasteful number, since it uses less digits than its factorization.

22442505026112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068281 (or 6068265 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 22442505026112 in words is "twenty-two trillion, four hundred forty-two billion, five hundred five million, twenty-six thousand, one hundred twelve".