312330122010 has 96 divisors (see below), whose sum is σ = 830816342928. Its totient is φ = 81377187840.

The previous prime is 312330121969. The next prime is 312330122017. The reversal of 312330122010 is 10221033213.

312330122010 is a `hidden beast` number, since 312 + 330 + 1 + 2 + 20 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 128847256209 + 183482865801 = 358953^2 + 428349^2 .

It is a super-2 number, since 2×312330122010² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (312330122017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013724 + ... + 1285416.

Almost surely, 2^312330122010 is an apocalyptic number.

312330122010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312330122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415408171464).

312330122010 is an abundant number, since it is smaller than the sum of its proper divisors (518486220918).

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

312330122010 is a wasteful number, since it uses less digits than its factorization.

312330122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272000 (or 271997 counting only the distinct ones).

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

Adding to 312330122010 its reverse (10221033213), we get a palindrome (322551155223).

The spelling of 312330122010 in words is "three hundred twelve billion, three hundred thirty million, one hundred twenty-two thousand, ten".