312401262006141 has 144 divisors (see below), whose sum is σ = 540598475450880. Its totient is φ = 159863760672000.

The previous prime is 312401262006137. The next prime is 312401262006143. The reversal of 312401262006141 is 141600262104213.

It is a happy number.

It is not a de Polignac number, because 312401262006141 - 2² = 312401262006137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312401262006143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 353466580 + ... + 354349298.

It is an arithmetic number, because the mean of its divisors is an integer number (3754156079520).

Almost surely, 2^{312401262006141} is an apocalyptic number.

It is an amenable number.

312401262006141 is a deficient number, since it is larger than the sum of its proper divisors (228197213444739).

312401262006141 is a wasteful number, since it uses less digits than its factorization.

312401262006141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883056 (or 883038 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 312401262006141 in words is "three hundred twelve trillion, four hundred one billion, two hundred sixty-two million, six thousand, one hundred forty-one".