2121199299600 has 480 divisors, whose sum is σ = 7362028800000. Its totient is φ = 520250480640.

The previous prime is 2121199299553. The next prime is 2121199299617. The reversal of 2121199299600 is 69929911212.

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 95 ways as a sum of consecutive naturals, for example, 420953881 + ... + 420958919.

It is an arithmetic number, because the mean of its divisors is an integer number (15337560000).

Almost surely, 2^{2121199299600} is an apocalyptic number.

2121199299600 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 2121199299600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681014400000).

2121199299600 is an abundant number, since it is smaller than the sum of its proper divisors (5240829500400).

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

2121199299600 is a wasteful number, since it uses less digits than its factorization.

2121199299600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 51.

The spelling of 2121199299600 in words is "two trillion, one hundred twenty-one billion, one hundred ninety-nine million, two hundred ninety-nine thousand, six hundred".