312112233112020 has 192 divisors, whose sum is σ = 957133670572800. Its totient is φ = 75364288061440.

The previous prime is 312112233112013. The next prime is 312112233112027. The reversal of 312112233112020 is 20211332211213.

It is an interprime number because it is at equal distance from previous prime (312112233112013) and next prime (312112233112027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312112233112027) 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, 750608812 + ... + 751024508.

It is an arithmetic number, because the mean of its divisors is an integer number (4985071200900).

Almost surely, 2^{312112233112020} is an apocalyptic number.

312112233112020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312112233112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478566835286400).

312112233112020 is an abundant number, since it is smaller than the sum of its proper divisors (645021437460780).

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

312112233112020 is a wasteful number, since it uses less digits than its factorization.

312112233112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420218 (or 420216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312112233112020 its reverse (20211332211213), we get a palindrome (332323565323233).

The spelling of 312112233112020 in words is "three hundred twelve trillion, one hundred twelve billion, two hundred thirty-three million, one hundred twelve thousand, twenty".