122311203130200 has 384 divisors, whose sum is σ = 436683088350720. Its totient is φ = 27740767334400.

The previous prime is 122311203130141. The next prime is 122311203130201. The reversal of 122311203130200 is 2031302113221.

It is a super-2 number, since 2×122311203130200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311203130201) 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, 1364228574 + ... + 1364318226.

It is an arithmetic number, because the mean of its divisors is an integer number (1137195542580).

Almost surely, 2^{122311203130200} is an apocalyptic number.

122311203130200 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 122311203130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218341544175360).

122311203130200 is an abundant number, since it is smaller than the sum of its proper divisors (314371885220520).

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

122311203130200 is a wasteful number, since it uses less digits than its factorization.

122311203130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92187 (or 92178 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122311203130200 its reverse (2031302113221), we get a palindrome (124342505243421).

The spelling of 122311203130200 in words is "one hundred twenty-two trillion, three hundred eleven billion, two hundred three million, one hundred thirty thousand, two hundred".