20002122121200 has 480 divisors, whose sum is σ = 65095110312960. Its totient is φ = 5249608704000.

The previous prime is 20002122121193. The next prime is 20002122121207. The reversal of 20002122121200 is 212122120002.

It is an interprime number because it is at equal distance from previous prime (20002122121193) and next prime (20002122121207).

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 20002122121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002122121207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21765094341 + ... + 21765095259.

It is an arithmetic number, because the mean of its divisors is an integer number (135614813152).

Almost surely, 2^{20002122121200} is an apocalyptic number.

20002122121200 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 20002122121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32547555156480).

20002122121200 is an abundant number, since it is smaller than the sum of its proper divisors (45092988191760).

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

20002122121200 is a wasteful number, since it uses less digits than its factorization.

20002122121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1926 counting only the distinct ones).

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

Adding to 20002122121200 its reverse (212122120002), we get a palindrome (20214244241202).

It can be divided in two parts, 200021 and 22121200, that added together give a triangular number (22321221 = T₆₆₈₁).

The spelling of 20002122121200 in words is "twenty trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred".