112022241408 has 1024 divisors, whose sum is σ = 430064640000. Its totient is φ = 28686873600.

The previous prime is 112022241389. The next prime is 112022241413. The reversal of 112022241408 is 804142220211.

112022241408 is a `hidden beast` number, since 1 + 1 + 20 + 222 + 414 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1577778013 + ... + 1577778083.

It is an arithmetic number, because the mean of its divisors is an integer number (419985000).

Almost surely, 2^112022241408 is an apocalyptic number.

112022241408 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 112022241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215032320000).

112022241408 is an abundant number, since it is smaller than the sum of its proper divisors (318042398592).

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

112022241408 is an frugal number, since it uses more digits than its factorization.

112022241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 112022241408 its reverse (804142220211), we get a palindrome (916164461619).

The spelling of 112022241408 in words is "one hundred twelve billion, twenty-two million, two hundred forty-one thousand, four hundred eight".