2120251200 has 168 divisors, whose sum is σ = 7181088000. Its totient is φ = 547123200.

The previous prime is 2120251171. The next prime is 2120251213. The reversal of 2120251200 is 21520212.

It is a super-2 number, since 2×2120251200² = 8990930302202880000, which contains 22 as substring.

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 2120251200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141676 + ... + 155924.

Almost surely, 2^2120251200 is an apocalyptic number.

2120251200 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 2120251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590544000).

2120251200 is an abundant number, since it is smaller than the sum of its proper divisors (5060836800).

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

2120251200 is a wasteful number, since it uses less digits than its factorization.

2120251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14305 (or 14290 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2120251200 is about 46046.1855097683. The cubic root of 2120251200 is about 1284.6823946193.

Adding to 2120251200 its reverse (21520212), we get a palindrome (2141771412).

The spelling of 2120251200 in words is "two billion, one hundred twenty million, two hundred fifty-one thousand, two hundred".