312132212001 has 24 divisors (see below), whose sum is σ = 477471126600. Its totient is φ = 195809734656.

The previous prime is 312132211991. The next prime is 312132212081. The reversal of 312132212001 is 100212231213.

312132212001 is a `hidden beast` number, since 31 + 213 + 221 + 200 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58297619601 + 253834592400 = 241449^2 + 503820^2 .

It is not a de Polignac number, because 312132212001 - 2¹⁰ = 312132210977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312132212081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605725 + ... + 995573.

It is an arithmetic number, because the mean of its divisors is an integer number (19894630275).

Almost surely, 2^312132212001 is an apocalyptic number.

It is an amenable number.

312132212001 is a deficient number, since it is larger than the sum of its proper divisors (165338914599).

312132212001 is a wasteful number, since it uses less digits than its factorization.

312132212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395105 (or 395102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312132212001 its reverse (100212231213), we get a palindrome (412344443214).

The spelling of 312132212001 in words is "three hundred twelve billion, one hundred thirty-two million, two hundred twelve thousand, one".