122011222111200 has 864 divisors, whose sum is σ = 450535056098400. Its totient is φ = 31037067509760.

The previous prime is 122011222111187. The next prime is 122011222111213. The reversal of 122011222111200 is 2111222110221.

122011222111200 is a `hidden beast` number, since 1 + 220 + 1 + 12 + 221 + 11 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (122011222111187) and next prime (122011222111213).

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, 28647854671 + ... + 28647858929.

It is an arithmetic number, because the mean of its divisors is an integer number (521452611225).

Almost surely, 2^{122011222111200} is an apocalyptic number.

122011222111200 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 122011222111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225267528049200).

122011222111200 is an abundant number, since it is smaller than the sum of its proper divisors (328523833987200).

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

122011222111200 is a wasteful number, since it uses less digits than its factorization.

122011222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011222111200 its reverse (2111222110221), we get a palindrome (124122444221421).

The spelling of 122011222111200 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".