312020313120 has 288 divisors, whose sum is σ = 1076375139840. Its totient is φ = 82301184000.

The previous prime is 312020313113. The next prime is 312020313211. The reversal of 312020313120 is 21313020213.

312020313120 is a `hidden beast` number, since 31 + 202 + 0 + 313 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 312020313093 and 312020313102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117875637 + ... + 117878283.

It is an arithmetic number, because the mean of its divisors is an integer number (3737413680).

Almost surely, 2^312020313120 is an apocalyptic number.

312020313120 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 312020313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538187569920).

312020313120 is an abundant number, since it is smaller than the sum of its proper divisors (764354826720).

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

312020313120 is a wasteful number, since it uses less digits than its factorization.

312020313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312020313120 its reverse (21313020213), we get a palindrome (333333333333).

The spelling of 312020313120 in words is "three hundred twelve billion, twenty million, three hundred thirteen thousand, one hundred twenty".