13300122012012 has 96 divisors (see below), whose sum is σ = 37700286624000. Its totient is φ = 4021363584000.

The previous prime is 13300122011963. The next prime is 13300122012019. The reversal of 13300122012012 is 21021022100331.

13300122012012 is a `hidden beast` number, since 13 + 300 + 1 + 220 + 120 + 12 = 666.

It is a super-2 number, since 2×13300122012012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13300122012019) 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, 11933614 + ... + 13000437.

It is an arithmetic number, because the mean of its divisors is an integer number (392711319000).

Almost surely, 2^{13300122012012} is an apocalyptic number.

13300122012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300122012012 is an abundant number, since it is smaller than the sum of its proper divisors (24400164611988).

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

13300122012012 is a wasteful number, since it uses less digits than its factorization.

13300122012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24934524 (or 24934516 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13300122012012 its reverse (21021022100331), we get a palindrome (34321144112343).

The spelling of 13300122012012 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, twelve thousand, twelve".