112457067212040 has 384 divisors, whose sum is σ = 366560374320000. Its totient is φ = 27576226123776.

The previous prime is 112457067211999. The next prime is 112457067212057. The reversal of 112457067212040 is 40212760754211.

It is a junction number, because it is equal to n+sod(n) for n = 112457067211983 and 112457067212001.

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, 671506236 + ... + 671673684.

It is an arithmetic number, because the mean of its divisors is an integer number (954584308125).

Almost surely, 2^{112457067212040} is an apocalyptic number.

112457067212040 is a gapful number since it is divisible by the number (10) 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 112457067212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183280187160000).

112457067212040 is an abundant number, since it is smaller than the sum of its proper divisors (254103307107960).

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

112457067212040 is a wasteful number, since it uses less digits than its factorization.

112457067212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167957 (or 167934 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 112457067212040 in words is "one hundred twelve trillion, four hundred fifty-seven billion, sixty-seven million, two hundred twelve thousand, forty".