2122122001200 has 480 divisors, whose sum is σ = 7083466420800. Its totient is φ = 542652825600.

The previous prime is 2122122001183. The next prime is 2122122001211. The reversal of 2122122001200 is 21002212212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122122001200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1253467554 + ... + 1253469246.

It is an arithmetic number, because the mean of its divisors is an integer number (14757221710).

Almost surely, 2^{2122122001200} is an apocalyptic number.

2122122001200 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 2122122001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541733210400).

2122122001200 is an abundant number, since it is smaller than the sum of its proper divisors (4961344419600).

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

2122122001200 is a wasteful number, since it uses less digits than its factorization.

2122122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122122001200 its reverse (21002212212), we get a palindrome (2143124213412).

The spelling of 2122122001200 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one thousand, two hundred".