122103323200320 has 896 divisors, whose sum is σ = 490851933143040. Its totient is φ = 24979565445120.

The previous prime is 122103323200319. The next prime is 122103323200349. The reversal of 122103323200320 is 23002323301221.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2061377424 + ... + 2061436656.

It is an arithmetic number, because the mean of its divisors is an integer number (547825818240).

Almost surely, 2^{122103323200320} is an apocalyptic number.

122103323200320 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 122103323200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245425966571520).

122103323200320 is an abundant number, since it is smaller than the sum of its proper divisors (368748609942720).

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

122103323200320 is a wasteful number, since it uses less digits than its factorization.

122103323200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59703 (or 59693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 122103323200320 its reverse (23002323301221), we get a palindrome (145105646501541).

The spelling of 122103323200320 in words is "one hundred twenty-two trillion, one hundred three billion, three hundred twenty-three million, two hundred thousand, three hundred twenty".