2120001111200 has 216 divisors, whose sum is σ = 6035190090300. Its totient is φ = 725074882560.

The previous prime is 2120001111191. The next prime is 2120001111203. The reversal of 2120001111200 is 21111000212.

It can be written as a sum of positive squares in 6 ways, for example, as 888638040976 + 1231363070224 = 942676^2 + 1109668^2 .

It is a super-2 number, since 2×2120001111200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120001111203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15966686 + ... + 16098914.

Almost surely, 2^{2120001111200} is an apocalyptic number.

2120001111200 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 2120001111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017595045150).

2120001111200 is an abundant number, since it is smaller than the sum of its proper divisors (3915188979100).

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

2120001111200 is a wasteful number, since it uses less digits than its factorization.

2120001111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132672 (or 132652 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2120001111200 its reverse (21111000212), we get a palindrome (2141112111412).

The spelling of 2120001111200 in words is "two trillion, one hundred twenty billion, one million, one hundred eleven thousand, two hundred".