112256100789228 has 576 divisors, whose sum is σ = 351056003235840. Its totient is φ = 30721340707200.

The previous prime is 112256100789227. The next prime is 112256100789233. The reversal of 112256100789228 is 822987001652211.

It is a happy number.

112256100789228 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 561 + 0 + 0 + 78 + 9 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112256100789227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 890695825 + ... + 890821847.

It is an arithmetic number, because the mean of its divisors is an integer number (609472227840).

Almost surely, 2^{112256100789228} is an apocalyptic number.

112256100789228 is a gapful number since it is divisible by the number (18) 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 112256100789228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175528001617920).

112256100789228 is an abundant number, since it is smaller than the sum of its proper divisors (238799902446612).

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

112256100789228 is a wasteful number, since it uses less digits than its factorization.

112256100789228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126183 (or 126156 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 112256100789228 in words is "one hundred twelve trillion, two hundred fifty-six billion, one hundred million, seven hundred eighty-nine thousand, two hundred twenty-eight".