2000221111200 has 288 divisors, whose sum is σ = 7014797899200. Its totient is φ = 492133662720.

The previous prime is 2000221111199. The next prime is 2000221111211. The reversal of 2000221111200 is 21111220002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72963096 + ... + 72990504.

It is an arithmetic number, because the mean of its divisors is an integer number (24356937150).

Almost surely, 2^{2000221111200} is an apocalyptic number.

2000221111200 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 2000221111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507398949600).

2000221111200 is an abundant number, since it is smaller than the sum of its proper divisors (5014576788000).

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

2000221111200 is a wasteful number, since it uses less digits than its factorization.

2000221111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29784 (or 29771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2000221111200 its reverse (21111220002), we get a palindrome (2021332331202).

The spelling of 2000221111200 in words is "two trillion, two hundred twenty-one million, one hundred eleven thousand, two hundred".