112212180756192 has 192 divisors, whose sum is σ = 327651614680320. Its totient is φ = 33336248524800.

The previous prime is 112212180756163. The next prime is 112212180756211. The reversal of 112212180756192 is 291657081212211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71478184 + ... + 73031192.

It is an arithmetic number, because the mean of its divisors is an integer number (1706518826460).

Almost surely, 2^{112212180756192} is an apocalyptic number.

112212180756192 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 112212180756192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163825807340160).

112212180756192 is an abundant number, since it is smaller than the sum of its proper divisors (215439433924128).

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

112212180756192 is a wasteful number, since it uses less digits than its factorization.

112212180756192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554377 (or 1554369 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 112212180756192 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred eighty million, seven hundred fifty-six thousand, one hundred ninety-two".