200122049940960 has 384 divisors, whose sum is σ = 725851740708864. Its totient is φ = 45398682501120.

The previous prime is 200122049940947. The next prime is 200122049940979. The reversal of 200122049940960 is 69049940221002.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2298334225 + ... + 2298421295.

It is an arithmetic number, because the mean of its divisors is an integer number (1890238908096).

Almost surely, 2^{200122049940960} is an apocalyptic number.

200122049940960 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 200122049940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362925870354432).

200122049940960 is an abundant number, since it is smaller than the sum of its proper divisors (525729690767904).

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

200122049940960 is a wasteful number, since it uses less digits than its factorization.

200122049940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92226 (or 92218 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 200122049940960 in words is "two hundred trillion, one hundred twenty-two billion, forty-nine million, nine hundred forty thousand, nine hundred sixty".