2121949900800 has 1404 divisors, whose sum is σ = 8366619758016. Its totient is φ = 513382809600.

The previous prime is 2121949900771. The next prime is 2121949900801. The reversal of 2121949900800 is 80099491212.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121949900801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8256614272 + ... + 8256614528.

Almost surely, 2^{2121949900800} is an apocalyptic number.

2121949900800 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 2121949900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183309879008).

2121949900800 is an abundant number, since it is smaller than the sum of its proper divisors (6244669857216).

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

2121949900800 is a wasteful number, since it uses less digits than its factorization.

2121949900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 2121949900800 in words is "two trillion, one hundred twenty-one billion, nine hundred forty-nine million, nine hundred thousand, eight hundred".