122201120323000 has 128 divisors (see below), whose sum is σ = 286332642161280. Its totient is φ = 48815165414400.

The previous prime is 122201120322979. The next prime is 122201120323001. The reversal of 122201120323000 is 323021102221.

It is a super-2 number, since 2×122201120323000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201120323001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8987352202 + ... + 8987365798.

It is an arithmetic number, because the mean of its divisors is an integer number (2236973766885).

Almost surely, 2^{122201120323000} is an apocalyptic number.

122201120323000 is a gapful number since it is divisible by the number (10) 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 122201120323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143166321080640).

122201120323000 is an abundant number, since it is smaller than the sum of its proper divisors (164131521838280).

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

122201120323000 is a wasteful number, since it uses less digits than its factorization.

122201120323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24962 (or 24948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122201120323000 its reverse (323021102221), we get a palindrome (122524141425221).

The spelling of 122201120323000 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twenty million, three hundred twenty-three thousand".