31212023102000 has 320 divisors, whose sum is σ = 85584463910400. Its totient is φ = 10913976806400.

The previous prime is 31212023101979. The next prime is 31212023102021. The reversal of 31212023102000 is 20132021213.

It is an interprime number because it is at equal distance from previous prime (31212023101979) and next prime (31212023102021).

It is a super-2 number, since 2×31212023102000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31212023102000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1609936307 + ... + 1609955693.

It is an arithmetic number, because the mean of its divisors is an integer number (267451449720).

Almost surely, 2^{31212023102000} 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 31212023102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42792231955200).

31212023102000 is an abundant number, since it is smaller than the sum of its proper divisors (54372440808400).

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

31212023102000 is a wasteful number, since it uses less digits than its factorization.

31212023102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22701 (or 22685 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31212023102000 its reverse (20132021213), we get a palindrome (31232155123213).

The spelling of 31212023102000 in words is "thirty-one trillion, two hundred twelve billion, twenty-three million, one hundred two thousand".