312234004240120 has 128 divisors (see below), whose sum is σ = 721238744540160. Its totient is φ = 121595081735680.

The previous prime is 312234004240043. The next prime is 312234004240127. The reversal of 312234004240120 is 21042400432213.

It is a super-2 number, since 2×312234004240120² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312234004240127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270608407 + ... + 2270745913.

It is an arithmetic number, because the mean of its divisors is an integer number (5634677691720).

Almost surely, 2^{312234004240120} 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 312234004240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360619372270080).

312234004240120 is an abundant number, since it is smaller than the sum of its proper divisors (409004740300040).

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

312234004240120 is a wasteful number, since it uses less digits than its factorization.

312234004240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143893 (or 143889 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312234004240120 its reverse (21042400432213), we get a palindrome (333276404672333).

The spelling of 312234004240120 in words is "three hundred twelve trillion, two hundred thirty-four billion, four million, two hundred forty thousand, one hundred twenty".