312233520354120 has 256 divisors, whose sum is σ = 1046830124851200. Its totient is φ = 82779523706880.

The previous prime is 312233520354097. The next prime is 312233520354121. The reversal of 312233520354120 is 21453025332213.

312233520354120 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 3 + 520 + 3 + 5 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312233520354121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128263500 + ... + 130675140.

It is an arithmetic number, because the mean of its divisors is an integer number (4089180175200).

Almost surely, 2^{312233520354120} is an apocalyptic number.

312233520354120 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 312233520354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523415062425600).

312233520354120 is an abundant number, since it is smaller than the sum of its proper divisors (734596604497080).

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

312233520354120 is a wasteful number, since it uses less digits than its factorization.

312233520354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412357 (or 2412347 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 312233520354120 its reverse (21453025332213), we get a palindrome (333686545686333).

The spelling of 312233520354120 in words is "three hundred twelve trillion, two hundred thirty-three billion, five hundred twenty million, three hundred fifty-four thousand, one hundred twenty".