122310122201300 has 288 divisors, whose sum is σ = 307089595008000. Its totient is φ = 41816538316800.

The previous prime is 122310122201291. The next prime is 122310122201303. The reversal of 122310122201300 is 3102221013221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122310122201303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9671071577 + ... + 9671084223.

It is an arithmetic number, because the mean of its divisors is an integer number (1066283316000).

Almost surely, 2^{122310122201300} is an apocalyptic number.

122310122201300 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 122310122201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544797504000).

122310122201300 is an abundant number, since it is smaller than the sum of its proper divisors (184779472806700).

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

122310122201300 is a wasteful number, since it uses less digits than its factorization.

122310122201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16159 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122310122201300 its reverse (3102221013221), we get a palindrome (125412343214521).

The spelling of 122310122201300 in words is "one hundred twenty-two trillion, three hundred ten billion, one hundred twenty-two million, two hundred one thousand, three hundred".