20032121200 has 360 divisors, whose sum is σ = 62393194080. Its totient is φ = 6118963200.

The previous prime is 20032121191. The next prime is 20032121209. The reversal of 20032121200 is 212123002.

It is an interprime number because it is at equal distance from previous prime (20032121191) and next prime (20032121209).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20032121209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7387845 + ... + 7390555.

It is an arithmetic number, because the mean of its divisors is an integer number (173314428).

Almost surely, 2^20032121200 is an apocalyptic number.

20032121200 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 20032121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31196597040).

20032121200 is an abundant number, since it is smaller than the sum of its proper divisors (42361072880).

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

20032121200 is a wasteful number, since it uses less digits than its factorization.

20032121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20032121200 its reverse (212123002), we get a palindrome (20244244202).

The spelling of 20032121200 in words is "twenty billion, thirty-two million, one hundred twenty-one thousand, two hundred".