312233442114240 has 168 divisors, whose sum is σ = 1074555290466528. Its totient is φ = 83215552020480.

The previous prime is 312233442114229. The next prime is 312233442114259. The reversal of 312233442114240 is 42411244332213.

312233442114240 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 33 + 442 + 1 + 142 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312233442114195 and 312233442114204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25267201 + ... + 35537280.

Almost surely, 2^{312233442114240} is an apocalyptic number.

312233442114240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312233442114240 is an abundant number, since it is smaller than the sum of its proper divisors (762321848352288).

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

312233442114240 is a wasteful number, since it uses less digits than its factorization.

312233442114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60806287 (or 60806274 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 312233442114240 its reverse (42411244332213), we get a palindrome (354644686446453).

The spelling of 312233442114240 in words is "three hundred twelve trillion, two hundred thirty-three billion, four hundred forty-two million, one hundred fourteen thousand, two hundred forty".