312402310323420 has 192 divisors, whose sum is σ = 890714074199040. Its totient is φ = 81801158400000.

The previous prime is 312402310323379. The next prime is 312402310323443. The reversal of 312402310323420 is 24323013204213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 353966241 + ... + 354847719.

It is an arithmetic number, because the mean of its divisors is an integer number (4639135803120).

Almost surely, 2^{312402310323420} is an apocalyptic number.

312402310323420 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 312402310323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445357037099520).

312402310323420 is an abundant number, since it is smaller than the sum of its proper divisors (578311763875620).

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

312402310323420 is a wasteful number, since it uses less digits than its factorization.

312402310323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882076 (or 882074 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312402310323420 its reverse (24323013204213), we get a palindrome (336725323527633).

The spelling of 312402310323420 in words is "three hundred twelve trillion, four hundred two billion, three hundred ten million, three hundred twenty-three thousand, four hundred twenty".