112022101395400 has 960 divisors, whose sum is σ = 334965656361600. Its totient is φ = 34675744481280.

The previous prime is 112022101395301. The next prime is 112022101395403. The reversal of 112022101395400 is 4593101220211.

It is not an unprimeable number, because it can be changed into a prime (112022101395403) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38588390349 + ... + 38588393251.

It is an arithmetic number, because the mean of its divisors is an integer number (348922558710).

Almost surely, 2^{112022101395400} is an apocalyptic number.

112022101395400 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 112022101395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167482828180800).

112022101395400 is an abundant number, since it is smaller than the sum of its proper divisors (222943554966200).

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

112022101395400 is a wasteful number, since it uses less digits than its factorization.

112022101395400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 112022101395400 in words is "one hundred twelve trillion, twenty-two billion, one hundred one million, three hundred ninety-five thousand, four hundred".