122201112000 has 448 divisors, whose sum is σ = 444645946368. Its totient is φ = 29324800000.

The previous prime is 122201111993. The next prime is 122201112023. The reversal of 122201112000 is 211102221.

It is a super-2 number, since 2×122201112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26661709 + ... + 26666291.

Almost surely, 2^122201112000 is an apocalyptic number.

122201112000 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 122201112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222322973184).

122201112000 is an abundant number, since it is smaller than the sum of its proper divisors (322444834368).

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

122201112000 is a wasteful number, since it uses less digits than its factorization.

122201112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122201112000 its reverse (211102221), we get a palindrome (122412214221).

The spelling of 122201112000 in words is "one hundred twenty-two billion, two hundred one million, one hundred twelve thousand".