12011100313200 has 120 divisors (see below), whose sum is σ = 38849107509888. Its totient is φ = 3171863351040.

The previous prime is 12011100313139. The next prime is 12011100313241. The reversal of 12011100313200 is 231300111021.

It is a happy number.

12011100313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011100313200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48464994 + ... + 48712193.

Almost surely, 2^{12011100313200} is an apocalyptic number.

12011100313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011100313200 is an abundant number, since it is smaller than the sum of its proper divisors (26838007196688).

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

12011100313200 is a wasteful number, since it uses less digits than its factorization.

12011100313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97177311 (or 97177300 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12011100313200 its reverse (231300111021), we get a palindrome (12242400424221).

The spelling of 12011100313200 in words is "twelve trillion, eleven billion, one hundred million, three hundred thirteen thousand, two hundred".