312141220011201 has 32 divisors (see below), whose sum is σ = 503913417262848. Its totient is φ = 167777400084480.

The previous prime is 312141220011151. The next prime is 312141220011211. The reversal of 312141220011201 is 102110022141213.

It is not a de Polignac number, because 312141220011201 - 2⁹ = 312141220010689 is a prime.

It is a super-2 number, since 2×312141220011201² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (312141220011211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251644780 + ... + 252882141.

It is an arithmetic number, because the mean of its divisors is an integer number (15747294289464).

Almost surely, 2^{312141220011201} is an apocalyptic number.

It is an amenable number.

312141220011201 is a deficient number, since it is larger than the sum of its proper divisors (191772197251647).

312141220011201 is a wasteful number, since it uses less digits than its factorization.

312141220011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504528681.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 312141220011201 its reverse (102110022141213), we get a palindrome (414251242152414).

The spelling of 312141220011201 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred twenty million, eleven thousand, two hundred one".