112620271104 has 320 divisors, whose sum is σ = 365094132480. Its totient is φ = 33993768960.

The previous prime is 112620271073. The next prime is 112620271109. The reversal of 112620271104 is 401172026211.

112620271104 is a `hidden beast` number, since 1 + 1 + 2 + 620 + 27 + 1 + 10 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112620271109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43032804 + ... + 43035420.

It is an arithmetic number, because the mean of its divisors is an integer number (1140919164).

Almost surely, 2^112620271104 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 112620271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182547066240).

112620271104 is an abundant number, since it is smaller than the sum of its proper divisors (252473861376).

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

112620271104 is a wasteful number, since it uses less digits than its factorization.

112620271104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 112620271104 its reverse (401172026211), we get a palindrome (513792297315).

The spelling of 112620271104 in words is "one hundred twelve billion, six hundred twenty million, two hundred seventy-one thousand, one hundred four".