122121322200 has 144 divisors (see below), whose sum is σ = 410284934280. Its totient is φ = 32552916480.

The previous prime is 122121322199. The next prime is 122121322241. The reversal of 122121322200 is 2223121221.

122121322200 is a `hidden beast` number, since 1 + 22 + 121 + 322 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5130727 + ... + 5154473.

Almost surely, 2^122121322200 is an apocalyptic number.

122121322200 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 122121322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205142467140).

122121322200 is an abundant number, since it is smaller than the sum of its proper divisors (288163612080).

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

122121322200 is a wasteful number, since it uses less digits than its factorization.

122121322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26626 (or 26614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122121322200 its reverse (2223121221), we get a palindrome (124344443421).

The spelling of 122121322200 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred".