2121084403200 has 1260 divisors, whose sum is σ = 9167487484320. Its totient is φ = 484714782720.

The previous prime is 2121084403183. The next prime is 2121084403201. The reversal of 2121084403200 is 23044801212.

2121084403200 is a `hidden beast` number, since 2 + 1 + 2 + 10 + 8 + 440 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121084403201) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 457226481 + ... + 457231119.

Almost surely, 2^{2121084403200} is an apocalyptic number.

2121084403200 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 2121084403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583743742160).

2121084403200 is an abundant number, since it is smaller than the sum of its proper divisors (7046403081120).

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

2121084403200 is an frugal number, since it uses more digits than its factorization.

2121084403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4699 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2121084403200 in words is "two trillion, one hundred twenty-one billion, eighty-four million, four hundred three thousand, two hundred".