122220011113200 has 1440 divisors, whose sum is σ = 584862930043392. Its totient is φ = 22809185280000.

The previous prime is 122220011113177. The next prime is 122220011113219. The reversal of 122220011113200 is 2311110022221.

122220011113200 is a `hidden beast` number, since 1 + 222 + 200 + 111 + 132 + 0 + 0 = 666.

It is a super-2 number, since 2×122220011113200² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 132874875 + ... + 133791525.

Almost surely, 2^{122220011113200} is an apocalyptic number.

122220011113200 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 122220011113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292431465021696).

122220011113200 is an abundant number, since it is smaller than the sum of its proper divisors (462642918930192).

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

122220011113200 is a wasteful number, since it uses less digits than its factorization.

122220011113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916743 (or 916729 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122220011113200 its reverse (2311110022221), we get a palindrome (124531121135421).

The spelling of 122220011113200 in words is "one hundred twenty-two trillion, two hundred twenty billion, eleven million, one hundred thirteen thousand, two hundred".