122312112332202 has 384 divisors, whose sum is σ = 309859601990400. Its totient is φ = 35696521276416.

The previous prime is 122312112332161. The next prime is 122312112332203. The reversal of 122312112332202 is 202233211213221.

122312112332202 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 12 + 112 + 332 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122312112332203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6613958868 + ... + 6613977360.

It is an arithmetic number, because the mean of its divisors is an integer number (806926046850).

Almost surely, 2^{122312112332202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312112332202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154929800995200).

122312112332202 is an abundant number, since it is smaller than the sum of its proper divisors (187547489658198).

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

122312112332202 is a wasteful number, since it uses less digits than its factorization.

122312112332202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18999 (or 18980 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 122312112332202 its reverse (202233211213221), we get a palindrome (324545323545423).

The spelling of 122312112332202 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred twelve million, three hundred thirty-two thousand, two hundred two".