2121202201200 has 240 divisors, whose sum is σ = 6927863299680. Its totient is φ = 554676387840.

The previous prime is 2121202201189. The next prime is 2121202201201. The reversal of 2121202201200 is 21022021212.

It is a tau number, because it is divible by the number of its divisors (240).

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 2121202201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121202201201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15084816 + ... + 15224784.

It is an arithmetic number, because the mean of its divisors is an integer number (28866097082).

Almost surely, 2^{2121202201200} is an apocalyptic number.

2121202201200 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 2121202201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463931649840).

2121202201200 is an abundant number, since it is smaller than the sum of its proper divisors (4806661098480).

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

2121202201200 is a wasteful number, since it uses less digits than its factorization.

2121202201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140236 (or 140225 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2121202201200 its reverse (21022021212), we get a palindrome (2142224222412).

The spelling of 2121202201200 in words is "two trillion, one hundred twenty-one billion, two hundred two million, two hundred one thousand, two hundred".