2121220123200 has 504 divisors, whose sum is σ = 7751007868032. Its totient is φ = 549807575040.

The previous prime is 2121220123199. The next prime is 2121220123279. The reversal of 2121220123200 is 23210221212.

2121220123200 is a `hidden beast` number, since 2 + 121 + 220 + 1 + 2 + 320 + 0 = 666.

It is a super-2 number, since 2×2121220123200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 866864377 + ... + 866866823.

Almost surely, 2^{2121220123200} is an apocalyptic number.

2121220123200 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 2121220123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875503934016).

2121220123200 is an abundant number, since it is smaller than the sum of its proper divisors (5629787744832).

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

2121220123200 is a wasteful number, since it uses less digits than its factorization.

2121220123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2121220123200 its reverse (23210221212), we get a palindrome (2144430344412).

The spelling of 2121220123200 in words is "two trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-three thousand, two hundred".