2120010011200 has 168 divisors, whose sum is σ = 5344904207808. Its totient is φ = 827190712320.

The previous prime is 2120010011191. The next prime is 2120010011221. The reversal of 2120010011200 is 21100100212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53162469 + ... + 53202331.

Almost surely, 2^{2120010011200} is an apocalyptic number.

2120010011200 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 2120010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672452103904).

2120010011200 is an abundant number, since it is smaller than the sum of its proper divisors (3224894196608).

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

2120010011200 is a wasteful number, since it uses less digits than its factorization.

2120010011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40701 (or 40686 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2120010011200 its reverse (21100100212), we get a palindrome (2141110111412).

The spelling of 2120010011200 in words is "two trillion, one hundred twenty billion, ten million, eleven thousand, two hundred".