122201221212000 has 1152 divisors, whose sum is σ = 514248096660480. Its totient is φ = 27918527385600.

The previous prime is 122201221211809. The next prime is 122201221212011. The reversal of 122201221212000 is 212122102221.

It is a happy number.

122201221212000 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 221 + 21 + 200 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 28692465871 + ... + 28692470129.

It is an arithmetic number, because the mean of its divisors is an integer number (446395917240).

Almost surely, 2^{122201221212000} is an apocalyptic number.

122201221212000 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 122201221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257124048330240).

122201221212000 is an abundant number, since it is smaller than the sum of its proper divisors (392046875448480).

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

122201221212000 is an equidigital number, since it uses as much as digits as its factorization.

122201221212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8493 counting only the distinct ones).

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

Adding to 122201221212000 its reverse (212122102221), we get a palindrome (122413343314221).

The spelling of 122201221212000 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-one million, two hundred twelve thousand".