312010020313120 has 192 divisors, whose sum is σ = 784966974624000. Its totient is φ = 116862567284736.

The previous prime is 312010020313087. The next prime is 312010020313127. The reversal of 312010020313120 is 21313020010213.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (312010020313127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122058676 + ... + 124588684.

It is an arithmetic number, because the mean of its divisors is an integer number (4088369659500).

Almost surely, 2^{312010020313120} 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 312010020313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392483487312000).

312010020313120 is an abundant number, since it is smaller than the sum of its proper divisors (472956954310880).

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

312010020313120 is a wasteful number, since it uses less digits than its factorization.

312010020313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530515 (or 2530507 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312010020313120 its reverse (21313020010213), we get a palindrome (333323040323333).

The spelling of 312010020313120 in words is "three hundred twelve trillion, ten billion, twenty million, three hundred thirteen thousand, one hundred twenty".