122212112229000 has 1024 divisors, whose sum is σ = 440872821043200. Its totient is φ = 31689147110400.

The previous prime is 122212112228933. The next prime is 122212112229001. The reversal of 122212112229000 is 922211212221.

122212112229000 is a `hidden beast` number, since 1 + 2 + 221 + 211 + 2 + 229 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122212112229001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16137869214 + ... + 16137876786.

It is an arithmetic number, because the mean of its divisors is an integer number (430539864300).

Almost surely, 2^{122212112229000} is an apocalyptic number.

122212112229000 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 122212112229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220436410521600).

122212112229000 is an abundant number, since it is smaller than the sum of its proper divisors (318660708814200).

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

122212112229000 is an equidigital number, since it uses as much as digits as its factorization.

122212112229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7819 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 122212112229000 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-nine thousand".