22321000002000 has 640 divisors, whose sum is σ = 82801996333056. Its totient is φ = 5067360000000.

The previous prime is 22321000001899. The next prime is 22321000002001. The reversal of 22321000002000 is 20000012322.

It is a super-3 number, since 3×22321000002000³ (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321000002001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8749900725 + ... + 8749903275.

Almost surely, 2^{22321000002000} is an apocalyptic number.

22321000002000 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 22321000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41400998166528).

22321000002000 is an abundant number, since it is smaller than the sum of its proper divisors (60480996331056).

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

22321000002000 is a wasteful number, since it uses less digits than its factorization.

22321000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3916 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22321000002000 its reverse (20000012322), we get a palindrome (22341000014322).

The spelling of 22321000002000 in words is "twenty-two trillion, three hundred twenty-one billion, two thousand".