122100002001300 has 216 divisors, whose sum is σ = 383402834898048. Its totient is φ = 29897272422400.

The previous prime is 122100002001281. The next prime is 122100002001323. The reversal of 122100002001300 is 3100200001221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1451989 + ... + 15694211.

It is an arithmetic number, because the mean of its divisors is an integer number (1775013124528).

Almost surely, 2^{122100002001300} is an apocalyptic number.

122100002001300 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 122100002001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191701417449024).

122100002001300 is an abundant number, since it is smaller than the sum of its proper divisors (261302832896748).

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

122100002001300 is a wasteful number, since it uses less digits than its factorization.

122100002001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14242339 (or 14242291 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122100002001300 its reverse (3100200001221), we get a palindrome (125200202002521).

The spelling of 122100002001300 in words is "one hundred twenty-two trillion, one hundred billion, two million, one thousand, three hundred".