122360214900 has 576 divisors, whose sum is σ = 476249518080. Its totient is φ = 23474380800.

The previous prime is 122360214863. The next prime is 122360214919. The reversal of 122360214900 is 9412063221.

122360214900 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20810161 + ... + 20816039.

It is an arithmetic number, because the mean of its divisors is an integer number (826822080).

Almost surely, 2^122360214900 is an apocalyptic number.

122360214900 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 122360214900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238124759040).

122360214900 is an abundant number, since it is smaller than the sum of its proper divisors (353889303180).

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

122360214900 is a wasteful number, since it uses less digits than its factorization.

122360214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 122360214900 in words is "one hundred twenty-two billion, three hundred sixty million, two hundred fourteen thousand, nine hundred".