20002112221000 has 384 divisors, whose sum is σ = 57789608647680. Its totient is φ = 6310224000000.

The previous prime is 20002112220997. The next prime is 20002112221087. The reversal of 20002112221000 is 12221120002.

It is a happy number.

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

It is a congruent number.

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, 26633970625 + ... + 26633971375.

It is an arithmetic number, because the mean of its divisors is an integer number (150493772520).

Almost surely, 2^{20002112221000} is an apocalyptic number.

20002112221000 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 20002112221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894804323840).

20002112221000 is an abundant number, since it is smaller than the sum of its proper divisors (37787496426680).

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

20002112221000 is an equidigital number, since it uses as much as digits as its factorization.

20002112221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20002112221000 its reverse (12221120002), we get a palindrome (20014333341002).

The spelling of 20002112221000 in words is "twenty trillion, two billion, one hundred twelve million, two hundred twenty-one thousand".