312220122102 has 128 divisors (see below), whose sum is σ = 829733560320. Its totient is φ = 85145333760.

The previous prime is 312220122101. The next prime is 312220122113. The reversal of 312220122102 is 201221022213.

312220122102 is a `hidden beast` number, since 312 + 220 + 122 + 10 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220122101) 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, 672918 + ... + 1037910.

It is an arithmetic number, because the mean of its divisors is an integer number (6482293440).

Almost surely, 2^312220122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312220122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414866780160).

312220122102 is an abundant number, since it is smaller than the sum of its proper divisors (517513438218).

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

312220122102 is a wasteful number, since it uses less digits than its factorization.

312220122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365115 (or 365109 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312220122102 its reverse (201221022213), we get a palindrome (513441144315).

The spelling of 312220122102 in words is "three hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand, one hundred two".