212430402040311 has 96 divisors (see below), whose sum is σ = 379578067814400. Its totient is φ = 111480416163072.

The previous prime is 212430402040247. The next prime is 212430402040313. The reversal of 212430402040311 is 113040204034212.

212430402040311 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 304 + 0 + 2 + 0 + 40 + 311 = 666.

It is not a de Polignac number, because 212430402040311 - 2⁶ = 212430402040247 is a prime.

It is a super-2 number, since 2×212430402040311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212430402040313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2946171486 + ... + 2946243588.

It is an arithmetic number, because the mean of its divisors is an integer number (3953938206400).

Almost surely, 2^{212430402040311} is an apocalyptic number.

212430402040311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212430402040311 is a deficient number, since it is larger than the sum of its proper divisors (167147665774089).

212430402040311 is a wasteful number, since it uses less digits than its factorization.

212430402040311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90405 (or 90402 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212430402040311 its reverse (113040204034212), we get a palindrome (325470606074523).

The spelling of 212430402040311 in words is "two hundred twelve trillion, four hundred thirty billion, four hundred two million, forty thousand, three hundred eleven".