2253212103312 has 30 divisors (see below), whose sum is σ = 6305864428422. Its totient is φ = 751070701056.

The previous prime is 2253212103277. The next prime is 2253212103341. The reversal of 2253212103312 is 2133012123522.

2253212103312 is a `hidden beast` number, since 2 + 2 + 5 + 321 + 2 + 1 + 0 + 331 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2234474873856 + 18737229456 = 1494816^2 + 136884^2 .

It is a super-2 number, since 2×2253212103312² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7823652993 + ... + 7823653280.

Almost surely, 2^{2253212103312} is an apocalyptic number.

It is an amenable number.

2253212103312 is an abundant number, since it is smaller than the sum of its proper divisors (4052652325110).

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

2253212103312 is a wasteful number, since it uses less digits than its factorization.

2253212103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15647306287 (or 15647306278 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2253212103312 its reverse (2133012123522), we get a palindrome (4386224226834).

The spelling of 2253212103312 in words is "two trillion, two hundred fifty-three billion, two hundred twelve million, one hundred three thousand, three hundred twelve".