312142133000440 has 32 divisors (see below), whose sum is σ = 702324863660160. Its totient is φ = 124855952860800.

The previous prime is 312142133000393. The next prime is 312142133000443. The reversal of 312142133000440 is 44000331241213.

It is a happy number.

It is a super-2 number, since 2×312142133000440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312142133000399 and 312142133000408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142133000443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22505256 + ... + 33626935.

It is an arithmetic number, because the mean of its divisors is an integer number (21947651989380).

Almost surely, 2^{312142133000440} is an apocalyptic number.

It is an amenable number.

312142133000440 is an abundant number, since it is smaller than the sum of its proper divisors (390182730659720).

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

312142133000440 is a wasteful number, since it uses less digits than its factorization.

312142133000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56271223 (or 56271219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312142133000440 its reverse (44000331241213), we get a palindrome (356142464241653).

The spelling of 312142133000440 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-three million, four hundred forty", and thus it is an aban number.