122221120212000 has 768 divisors, whose sum is σ = 457695539159040. Its totient is φ = 31660627968000.

The previous prime is 122221120211833. The next prime is 122221120212019. The reversal of 122221120212000 is 212021122221.

It is a happy number.

122221120212000 is a `hidden beast` number, since 1 + 222 + 211 + 20 + 212 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1031664769 + ... + 1031783231.

It is an arithmetic number, because the mean of its divisors is an integer number (595957733280).

Almost surely, 2^{122221120212000} is an apocalyptic number.

122221120212000 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 122221120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228847769579520).

122221120212000 is an abundant number, since it is smaller than the sum of its proper divisors (335474418947040).

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

122221120212000 is a wasteful number, since it uses less digits than its factorization.

122221120212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118771 (or 118747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122221120212000 its reverse (212021122221), we get a palindrome (122433141334221).

The spelling of 122221120212000 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand".