312200101122 has 128 divisors (see below), whose sum is σ = 780104618496. Its totient is φ = 81097500672.

The previous prime is 312200101091. The next prime is 312200101123. The reversal of 312200101122 is 221101002213.

It is not an unprimeable number, because it can be changed into a prime (312200101123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30805168 + ... + 30815300.

It is an arithmetic number, because the mean of its divisors is an integer number (6094567332).

Almost surely, 2^312200101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312200101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390052309248).

312200101122 is an abundant number, since it is smaller than the sum of its proper divisors (467904517374).

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

312200101122 is a wasteful number, since it uses less digits than its factorization.

312200101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11004.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 312200101122 its reverse (221101002213), we get a palindrome (533301103335).

The spelling of 312200101122 in words is "three hundred twelve billion, two hundred million, one hundred one thousand, one hundred twenty-two".