22121002002000 has 320 divisors, whose sum is σ = 78316852543488. Its totient is φ = 5327150400000.

The previous prime is 22121002001983. The next prime is 22121002002019. The reversal of 22121002002000 is 20020012122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8856177 + ... + 11075823.

Almost surely, 2^{22121002002000} is an apocalyptic number.

22121002002000 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 22121002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39158426271744).

22121002002000 is an abundant number, since it is smaller than the sum of its proper divisors (56195850541488).

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

22121002002000 is a wasteful number, since it uses less digits than its factorization.

22121002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219835 (or 2219819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22121002002000 its reverse (20020012122), we get a palindrome (22141022014122).

The spelling of 22121002002000 in words is "twenty-two trillion, one hundred twenty-one billion, two million, two thousand".