312023121102 has 144 divisors (see below), whose sum is σ = 859884854400. Its totient is φ = 80859250080.

The previous prime is 312023121077. The next prime is 312023121121. The reversal of 312023121102 is 201121320213.

312023121102 is a `hidden beast` number, since 312 + 0 + 231 + 21 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4222549 + ... + 4295807.

It is an arithmetic number, because the mean of its divisors is an integer number (5971422600).

Almost surely, 2^312023121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312023121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429942427200).

312023121102 is an abundant number, since it is smaller than the sum of its proper divisors (547861733298).

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

312023121102 is a wasteful number, since it uses less digits than its factorization.

312023121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73731 (or 73721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312023121102 its reverse (201121320213), we get a palindrome (513144441315).

The spelling of 312023121102 in words is "three hundred twelve billion, twenty-three million, one hundred twenty-one thousand, one hundred two".