112022145192672 has 576 divisors, whose sum is σ = 377621015046912. Its totient is φ = 31312266163200.

The previous prime is 112022145192589. The next prime is 112022145192689. The reversal of 112022145192672 is 276291541220211.

112022145192672 is a `hidden beast` number, since 1 + 1 + 20 + 2 + 21 + 4 + 519 + 26 + 72 = 666.

It is a super-2 number, since 2×112022145192672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7629369843 + ... + 7629384525.

It is an arithmetic number, because the mean of its divisors is an integer number (655592040012).

Almost surely, 2^{112022145192672} is an apocalyptic number.

112022145192672 is a gapful number since it is divisible by the number (12) 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 112022145192672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188810507523456).

112022145192672 is an abundant number, since it is smaller than the sum of its proper divisors (265598869854240).

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

112022145192672 is a wasteful number, since it uses less digits than its factorization.

112022145192672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16276 (or 16243 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 112022145192672 in words is "one hundred twelve trillion, twenty-two billion, one hundred forty-five million, one hundred ninety-two thousand, six hundred seventy-two".