31121202200112 has 240 divisors, whose sum is σ = 90287541227520. Its totient is φ = 9999179923968.

The previous prime is 31121202200063. The next prime is 31121202200117. The reversal of 31121202200112 is 21100220212113.

31121202200112 is a `hidden beast` number, since 31 + 121 + 202 + 200 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31121202200117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345811473 + ... + 345901455.

It is an arithmetic number, because the mean of its divisors is an integer number (376198088448).

Almost surely, 2^{31121202200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31121202200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45143770613760).

31121202200112 is an abundant number, since it is smaller than the sum of its proper divisors (59166339027408).

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

31121202200112 is a wasteful number, since it uses less digits than its factorization.

31121202200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90640 (or 90631 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31121202200112 its reverse (21100220212113), we get a palindrome (52221422412225).

The spelling of 31121202200112 in words is "thirty-one trillion, one hundred twenty-one billion, two hundred two million, two hundred thousand, one hundred twelve".