2111220121200 has 120 divisors (see below), whose sum is σ = 6763952756400. Its totient is φ = 562907873280.

The previous prime is 2111220121189. The next prime is 2111220121207. The reversal of 2111220121200 is 21210221112.

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 2111220121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111220121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8114736 + ... + 8370864.

It is an arithmetic number, because the mean of its divisors is an integer number (56366272970).

Almost surely, 2^{2111220121200} is an apocalyptic number.

2111220121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111220121200 is an abundant number, since it is smaller than the sum of its proper divisors (4652732635200).

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

2111220121200 is a wasteful number, since it uses less digits than its factorization.

2111220121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263019 (or 263008 counting only the distinct ones).

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

Adding to 2111220121200 its reverse (21210221112), we get a palindrome (2132430342312).

The spelling of 2111220121200 in words is "two trillion, one hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".