112122233100 has 360 divisors, whose sum is σ = 392355200160. Its totient is φ = 27611781120.

The previous prime is 112122233057. The next prime is 112122233131. The reversal of 112122233100 is 1332221211.

112122233100 is a `hidden beast` number, since 112 + 1 + 222 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×112122233100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5392324 + ... + 5413076.

It is an arithmetic number, because the mean of its divisors is an integer number (1089875556).

Almost surely, 2^112122233100 is an apocalyptic number.

112122233100 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 112122233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196177600080).

112122233100 is an abundant number, since it is smaller than the sum of its proper divisors (280232967060).

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

112122233100 is a wasteful number, since it uses less digits than its factorization.

112122233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20831 (or 20815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112122233100 its reverse (1332221211), we get a palindrome (113454454311).

The spelling of 112122233100 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred".