122103313330200 has 192 divisors, whose sum is σ = 380476328492160. Its totient is φ = 32392942878720.

The previous prime is 122103313330171. The next prime is 122103313330247. The reversal of 122103313330200 is 2033313301221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120852319 + ... + 121858481.

It is an arithmetic number, because the mean of its divisors is an integer number (1981647544230).

Almost surely, 2^{122103313330200} is an apocalyptic number.

122103313330200 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 122103313330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190238164246080).

122103313330200 is an abundant number, since it is smaller than the sum of its proper divisors (258373015161960).

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

122103313330200 is a wasteful number, since it uses less digits than its factorization.

122103313330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007226 (or 1007217 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 122103313330200 its reverse (2033313301221), we get a palindrome (124136626631421).

The spelling of 122103313330200 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred thirteen million, three hundred thirty thousand, two hundred".