113122122212000 has 288 divisors, whose sum is σ = 308530396176912. Its totient is φ = 40728019200000.

The previous prime is 113122122211993. The next prime is 113122122212063. The reversal of 113122122212000 is 212221221311.

It can be written as a sum of positive squares in 8 ways, for example, as 5279131188496 + 107842991023504 = 2297636^2 + 10384748^2 .

It is a super-2 number, since 2×113122122212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47726954 + ... + 50041046.

Almost surely, 2^{113122122212000} is an apocalyptic number.

113122122212000 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 113122122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154265198088456).

113122122212000 is an abundant number, since it is smaller than the sum of its proper divisors (195408273964912).

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

113122122212000 is a wasteful number, since it uses less digits than its factorization.

113122122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314241 (or 2314212 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 113122122212000 its reverse (212221221311), we get a palindrome (113334343433311).

The spelling of 113122122212000 in words is "one hundred thirteen trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand".