122121133332 has 96 divisors (see below), whose sum is σ = 317171320704. Its totient is φ = 36261888000.

The previous prime is 122121133319. The next prime is 122121133333. The reversal of 122121133332 is 233331121221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121133333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245988 + ... + 1340420.

It is an arithmetic number, because the mean of its divisors is an integer number (3303867924).

Almost surely, 2^122121133332 is an apocalyptic number.

122121133332 is a gapful number since it is divisible by the number (12) 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 122121133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158585660352).

122121133332 is an abundant number, since it is smaller than the sum of its proper divisors (195050187372).

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

122121133332 is a wasteful number, since it uses less digits than its factorization.

122121133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94649 (or 94647 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 122121133332 its reverse (233331121221), we get a palindrome (355452254553).

The spelling of 122121133332 in words is "one hundred twenty-two billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty-two".