312300033332 has 192 divisors, whose sum is σ = 686402035200. Its totient is φ = 123827945472.

The previous prime is 312300033307. The next prime is 312300033427. The reversal of 312300033332 is 233330003213.

It is a super-2 number, since 2×312300033332² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312300033298 and 312300033307.

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, 683369648 + ... + 683370104.

It is an arithmetic number, because the mean of its divisors is an integer number (3575010600).

Almost surely, 2^312300033332 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 312300033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343201017600).

312300033332 is an abundant number, since it is smaller than the sum of its proper divisors (374102001868).

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

312300033332 is a wasteful number, since it uses less digits than its factorization.

312300033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 312300033332 its reverse (233330003213), we get a palindrome (545630036545).

The spelling of 312300033332 in words is "three hundred twelve billion, three hundred million, thirty-three thousand, three hundred thirty-two".