12001122103300 has 108 divisors (see below), whose sum is σ = 29165254624548. Its totient is φ = 4281703712000.

The previous prime is 12001122103291. The next prime is 12001122103319. The reversal of 12001122103300 is 330122110021.

It can be written as a sum of positive squares in 6 ways, for example, as 912315343104 + 11088806760196 = 955152^2 + 3329986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8715571 + ... + 9998170.

It is an arithmetic number, because the mean of its divisors is an integer number (270048653931).

Almost surely, 2^{12001122103300} is an apocalyptic number.

12001122103300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001122103300 is an abundant number, since it is smaller than the sum of its proper divisors (17164132521248).

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

12001122103300 is a wasteful number, since it uses less digits than its factorization.

12001122103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18713830 (or 18713812 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12001122103300 its reverse (330122110021), we get a palindrome (12331244213321).

The spelling of 12001122103300 in words is "twelve trillion, one billion, one hundred twenty-two million, one hundred three thousand, three hundred".