2121200022000 has 160 divisors (see below), whose sum is σ = 6840050780160. Its totient is φ = 565545657600.

The previous prime is 2121200021989. The next prime is 2121200022001. The reversal of 2121200022000 is 2200021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121200022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34427221 + ... + 34488779.

It is an arithmetic number, because the mean of its divisors is an integer number (42750317376).

Almost surely, 2^{2121200022000} is an apocalyptic number.

2121200022000 is a gapful number since it is divisible by the number (20) 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 2121200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420025390080).

2121200022000 is an abundant number, since it is smaller than the sum of its proper divisors (4718850758160).

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

2121200022000 is a wasteful number, since it uses less digits than its factorization.

2121200022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67328 (or 67312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2121200022000 its reverse (2200021212), we get a palindrome (2123400043212).

The spelling of 2121200022000 in words is "two trillion, one hundred twenty-one billion, two hundred million, twenty-two thousand".