312120303231000 has 256 divisors, whose sum is σ = 1062889304256000. Its totient is φ = 75626689728000.

The previous prime is 312120303230933. The next prime is 312120303231013. The reversal of 312120303231000 is 132303021213.

It is a super-2 number, since 2×312120303231000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 61890579 + ... + 66743421.

It is an arithmetic number, because the mean of its divisors is an integer number (4151911344750).

Almost surely, 2^{312120303231000} is an apocalyptic number.

312120303231000 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 312120303231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531444652128000).

312120303231000 is an abundant number, since it is smaller than the sum of its proper divisors (750769001025000).

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

312120303231000 is a wasteful number, since it uses less digits than its factorization.

312120303231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854827 (or 4854813 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312120303231000 its reverse (132303021213), we get a palindrome (312252606252213).

The spelling of 312120303231000 in words is "three hundred twelve trillion, one hundred twenty billion, three hundred three million, two hundred thirty-one thousand".