122200212202200 has 576 divisors, whose sum is σ = 474659455252320. Its totient is φ = 27844798464000.

The previous prime is 122200212202177. The next prime is 122200212202223. The reversal of 122200212202200 is 2202212002221.

122200212202200 is a `hidden beast` number, since 1 + 2 + 2 + 200 + 21 + 220 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122200212202177) and next prime (122200212202223).

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 143 ways as a sum of consecutive naturals, for example, 254566410 + ... + 255045990.

Almost surely, 2^{122200212202200} is an apocalyptic number.

122200212202200 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 122200212202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237329727626160).

122200212202200 is an abundant number, since it is smaller than the sum of its proper divisors (352459243050120).

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

122200212202200 is a wasteful number, since it uses less digits than its factorization.

122200212202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480388 (or 480376 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122200212202200 its reverse (2202212002221), we get a palindrome (124402424204421).

The spelling of 122200212202200 in words is "one hundred twenty-two trillion, two hundred billion, two hundred twelve million, two hundred two thousand, two hundred".