312404120213121 has 48 divisors (see below), whose sum is σ = 483172129904256. Its totient is φ = 193817908366848.

The previous prime is 312404120213113. The next prime is 312404120213249. The reversal of 312404120213121 is 121312021404213.

312404120213121 is a `hidden beast` number, since 3 + 1 + 2 + 404 + 1 + 20 + 213 + 1 + 21 = 666.

It is not a de Polignac number, because 312404120213121 - 2³ = 312404120213113 is a prime.

It is a super-2 number, since 2×312404120213121² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312404120213021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4888435 + ... + 25469688.

It is an arithmetic number, because the mean of its divisors is an integer number (10066086039672).

Almost surely, 2^{312404120213121} is an apocalyptic number.

It is an amenable number.

312404120213121 is a deficient number, since it is larger than the sum of its proper divisors (170768009691135).

312404120213121 is a wasteful number, since it uses less digits than its factorization.

312404120213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30358902 (or 30358899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312404120213121 its reverse (121312021404213), we get a palindrome (433716141617334).

The spelling of 312404120213121 in words is "three hundred twelve trillion, four hundred four billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty-one".