122001122000 has 80 divisors (see below), whose sum is σ = 298733260800. Its totient is φ = 48182659200.

The previous prime is 122001121987. The next prime is 122001122003. The reversal of 122001122000 is 221100221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001122003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 228080 + ... + 544079.

It is an arithmetic number, because the mean of its divisors is an integer number (3734165760).

Almost surely, 2^122001122000 is an apocalyptic number.

122001122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001122000 is an abundant number, since it is smaller than the sum of its proper divisors (176732138800).

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

122001122000 is an equidigital number, since it uses as much as digits as its factorization.

122001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772261 (or 772245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122001122000 its reverse (221100221), we get a palindrome (122222222221).

The spelling of 122001122000 in words is "one hundred twenty-two billion, one million, one hundred twenty-two thousand".