122000011200 has 504 divisors, whose sum is σ = 453000983760. Its totient is φ = 31109529600.

The previous prime is 122000011183. The next prime is 122000011219. The reversal of 122000011200 is 2110000221.

122000011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31433260 + ... + 31437140.

Almost surely, 2^122000011200 is an apocalyptic number.

122000011200 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 122000011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226500491880).

122000011200 is an abundant number, since it is smaller than the sum of its proper divisors (331000972560).

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

122000011200 is a wasteful number, since it uses less digits than its factorization.

122000011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122000011200 its reverse (2110000221), we get a palindrome (124110011421).

The spelling of 122000011200 in words is "one hundred twenty-two billion, eleven thousand, two hundred".