313212112032120 has 512 divisors, whose sum is σ = 1170677546496000. Its totient is φ = 65462700441600.

The previous prime is 313212112032107. The next prime is 313212112032121. The reversal of 313212112032120 is 21230211212313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313212112032121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53820816 + ... + 59355744.

It is an arithmetic number, because the mean of its divisors is an integer number (2286479583000).

Almost surely, 2^{313212112032120} is an apocalyptic number.

313212112032120 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 313212112032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585338773248000).

313212112032120 is an abundant number, since it is smaller than the sum of its proper divisors (857465434463880).

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

313212112032120 is a wasteful number, since it uses less digits than its factorization.

313212112032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535103 (or 5535099 counting only the distinct ones).

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

Adding to 313212112032120 its reverse (21230211212313), we get a palindrome (334442323244433).

The spelling of 313212112032120 in words is "three hundred thirteen trillion, two hundred twelve billion, one hundred twelve million, thirty-two thousand, one hundred twenty".