12011212121100 has 36 divisors (see below), whose sum is σ = 34752440404584. Its totient is φ = 3202989898880.

The previous prime is 12011212121099. The next prime is 12011212121173. The reversal of 12011212121100 is 112121211021.

It is a happy number.

It is a super-3 number, since 3×12011212121100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 12011212121100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20018686569 + ... + 20018687168.

It is an arithmetic number, because the mean of its divisors is an integer number (965345566794).

Almost surely, 2^{12011212121100} is an apocalyptic number.

12011212121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011212121100 is an abundant number, since it is smaller than the sum of its proper divisors (22741228283484).

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

12011212121100 is a wasteful number, since it uses less digits than its factorization.

12011212121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40037373754 (or 40037373747 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011212121100 its reverse (112121211021), we get a palindrome (12123333332121).

The spelling of 12011212121100 in words is "twelve trillion, eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".