312342343401132 has 288 divisors, whose sum is σ = 928174010400000. Its totient is φ = 87501485260800.

The previous prime is 312342343401089. The next prime is 312342343401197. The reversal of 312342343401132 is 231104343243213.

312342343401132 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 234 + 3 + 401 + 13 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495773007 + ... + 496402617.

It is an arithmetic number, because the mean of its divisors is an integer number (3222826425000).

Almost surely, 2^{312342343401132} 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 312342343401132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464087005200000).

312342343401132 is an abundant number, since it is smaller than the sum of its proper divisors (615831666998868).

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

312342343401132 is a wasteful number, since it uses less digits than its factorization.

312342343401132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630957 (or 630952 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 312342343401132 its reverse (231104343243213), we get a palindrome (543446686644345).

The spelling of 312342343401132 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred forty-three million, four hundred one thousand, one hundred thirty-two".