22202232102000 has 240 divisors, whose sum is σ = 77557036279008. Its totient is φ = 5919675955200.

The previous prime is 22202232101989. The next prime is 22202232102007. The reversal of 22202232102000 is 20123220222.

22202232102000 is a `hidden beast` number, since 2 + 220 + 2 + 232 + 10 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22202232102000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202232102007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120021579 + ... + 120206421.

Almost surely, 2^{22202232102000} is an apocalyptic number.

22202232102000 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 22202232102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38778518139504).

22202232102000 is an abundant number, since it is smaller than the sum of its proper divisors (55354804177008).

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

22202232102000 is a wasteful number, since it uses less digits than its factorization.

22202232102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191545 (or 191526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22202232102000 its reverse (20123220222), we get a palindrome (22222355322222).

The spelling of 22202232102000 in words is "twenty-two trillion, two hundred two billion, two hundred thirty-two million, one hundred two thousand".