200123222202000 has 480 divisors, whose sum is σ = 700532018259840. Its totient is φ = 53246545228800.

The previous prime is 200123222201963. The next prime is 200123222202019. The reversal of 200123222202000 is 202222321002.

200123222202000 is a `hidden beast` number, since 200 + 1 + 23 + 22 + 220 + 200 + 0 = 666.

It is a super-2 number, since 2×200123222202000² (a number of 29 digits) contains 22 as substring.

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

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, 34344123087 + ... + 34344128913.

It is an arithmetic number, because the mean of its divisors is an integer number (1459441704708).

Almost surely, 2^{200123222202000} is an apocalyptic number.

200123222202000 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 200123222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350266009129920).

200123222202000 is an abundant number, since it is smaller than the sum of its proper divisors (500408796057840).

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

200123222202000 is a wasteful number, since it uses less digits than its factorization.

200123222202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 9789 counting only the distinct ones).

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

Adding to 200123222202000 its reverse (202222321002), we get a palindrome (200325444523002).

The spelling of 200123222202000 in words is "two hundred trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred two thousand".