122103303121200 has 240 divisors, whose sum is σ = 399611056112640. Its totient is φ = 31856017858560.

The previous prime is 122103303121169. The next prime is 122103303121213. The reversal of 122103303121200 is 2121303301221.

122103303121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148881856 + ... + 149699744.

It is an arithmetic number, because the mean of its divisors is an integer number (1665046067136).

Almost surely, 2^{122103303121200} is an apocalyptic number.

122103303121200 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 122103303121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199805528056320).

122103303121200 is an abundant number, since it is smaller than the sum of its proper divisors (277507752991440).

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

122103303121200 is a wasteful number, since it uses less digits than its factorization.

122103303121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820604 (or 820593 counting only the distinct ones).

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

Adding to 122103303121200 its reverse (2121303301221), we get a palindrome (124224606422421).

The spelling of 122103303121200 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred three million, one hundred twenty-one thousand, two hundred".