2121012211200 has 120 divisors (see below), whose sum is σ = 7006631403288. Its totient is φ = 565603246080.

The previous prime is 2121012211193. The next prime is 2121012211249. The reversal of 2121012211200 is 21122101212.

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 2121012211200.

It is a congruent number.

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, 27578947 + ... + 27655746.

Almost surely, 2^{2121012211200} is an apocalyptic number.

2121012211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121012211200 is an abundant number, since it is smaller than the sum of its proper divisors (4885619192088).

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

2121012211200 is an equidigital number, since it uses as much as digits as its factorization.

2121012211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55234724 (or 55234703 counting only the distinct ones).

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

Adding to 2121012211200 its reverse (21122101212), we get a palindrome (2142134312412).

It can be divided in two parts, 212101 and 2211200, that added together give a triangular number (2423301 = T₂₂₀₁).

The spelling of 2121012211200 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred eleven thousand, two hundred".