102224040330312 has 96 divisors (see below), whose sum is σ = 283992930748800. Its totient is φ = 33202771746432.

The previous prime is 102224040330299. The next prime is 102224040330317. The reversal of 102224040330312 is 213033040422201.

102224040330312 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 240 + 403 + 3 + 0 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (102224040330317) 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, 65769387 + ... + 67305722.

It is an arithmetic number, because the mean of its divisors is an integer number (2958259695300).

Almost surely, 2^{102224040330312} is an apocalyptic number.

102224040330312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102224040330312 is an abundant number, since it is smaller than the sum of its proper divisors (181768890418488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102224040330312 is a wasteful number, since it uses less digits than its factorization.

102224040330312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133075395 (or 133075388 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102224040330312 its reverse (213033040422201), we get a palindrome (315257080752513).

The spelling of 102224040330312 in words is "one hundred two trillion, two hundred twenty-four billion, forty million, three hundred thirty thousand, three hundred twelve".