2121000301200 has 1920 divisors, whose sum is σ = 8838154321920. Its totient is φ = 427482316800.

The previous prime is 2121000301129. The next prime is 2121000301207. The reversal of 2121000301200 is 21030001212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121000301207) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4216700149 + ... + 4216700651.

It is an arithmetic number, because the mean of its divisors is an integer number (4603205376).

Almost surely, 2^{2121000301200} is an apocalyptic number.

2121000301200 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 2121000301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419077160960).

2121000301200 is an abundant number, since it is smaller than the sum of its proper divisors (6717154020720).

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

2121000301200 is a wasteful number, since it uses less digits than its factorization.

2121000301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2121000301200 its reverse (21030001212), we get a palindrome (2142030302412).

The spelling of 2121000301200 in words is "two trillion, one hundred twenty-one billion, three hundred one thousand, two hundred".