12011212202100 has 288 divisors, whose sum is σ = 35284941619200. Its totient is φ = 3154310016000.

The previous prime is 12011212202089. The next prime is 12011212202107. The reversal of 12011212202100 is 120221211021.

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 12011212202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011212202107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5006756701 + ... + 5006759099.

It is an arithmetic number, because the mean of its divisors is an integer number (122517158400).

Almost surely, 2^{12011212202100} is an apocalyptic number.

12011212202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011212202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642470809600).

12011212202100 is an abundant number, since it is smaller than the sum of its proper divisors (23273729417100).

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

12011212202100 is a wasteful number, since it uses less digits than its factorization.

12011212202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011212202100 its reverse (120221211021), we get a palindrome (12131433413121).

The spelling of 12011212202100 in words is "twelve trillion, eleven billion, two hundred twelve million, two hundred two thousand, one hundred".