122122121000000 has 784 divisors, whose sum is σ = 339466654771200. Its totient is φ = 43208352000000.

The previous prime is 122122120999997. The next prime is 122122121000021. The reversal of 122122121000000 is 121221221.

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 111 ways as a sum of consecutive naturals, for example, 102882999407 + ... + 102883000593.

Almost surely, 2^{122122121000000} is an apocalyptic number.

122122121000000 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 122122121000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169733327385600).

122122121000000 is an abundant number, since it is smaller than the sum of its proper divisors (217344533771200).

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

122122121000000 is an equidigital number, since it uses as much as digits as its factorization.

122122121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122122121000000 its reverse (121221221), we get a palindrome (122122242221221).

The spelling of 122122121000000 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million", and thus it is an aban number.