2120202211200 has 288 divisors, whose sum is σ = 7039350579960. Its totient is φ = 560894423040.

The previous prime is 2120202211177. The next prime is 2120202211247. The reversal of 2120202211200 is 21122020212.

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 2120202211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154831554 + ... + 154845246.

Almost surely, 2^{2120202211200} is an apocalyptic number.

2120202211200 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 2120202211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519675289980).

2120202211200 is an abundant number, since it is smaller than the sum of its proper divisors (4919148368760).

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

2120202211200 is a wasteful number, since it uses less digits than its factorization.

2120202211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13974 (or 13830 counting only the distinct ones).

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

Adding to 2120202211200 its reverse (21122020212), we get a palindrome (2141324231412).

The spelling of 2120202211200 in words is "two trillion, one hundred twenty billion, two hundred two million, two hundred eleven thousand, two hundred".