113267072822112 has 576 divisors, whose sum is σ = 373264609536000. Its totient is φ = 32199491174400.

The previous prime is 113267072822081. The next prime is 113267072822143. The reversal of 113267072822112 is 211228270762311.

113267072822112 is a `hidden beast` number, since 1 + 1 + 326 + 70 + 7 + 28 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (113267072822081) and next prime (113267072822143).

It is a super-2 number, since 2×113267072822112² (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, 26632274578 + ... + 26632278830.

It is an arithmetic number, because the mean of its divisors is an integer number (648028836000).

Almost surely, 2^{113267072822112} is an apocalyptic number.

113267072822112 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 113267072822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186632304768000).

113267072822112 is an abundant number, since it is smaller than the sum of its proper divisors (259997536713888).

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

113267072822112 is a wasteful number, since it uses less digits than its factorization.

113267072822112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 113267072822112 in words is "one hundred thirteen trillion, two hundred sixty-seven billion, seventy-two million, eight hundred twenty-two thousand, one hundred twelve".