122121324120 has 128 divisors (see below), whose sum is σ = 372567939840. Its totient is φ = 32014794240.

The previous prime is 122121324113. The next prime is 122121324137. The reversal of 122121324120 is 21423121221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19812159 + ... + 19818321.

It is an arithmetic number, because the mean of its divisors is an integer number (2910687030).

Almost surely, 2^122121324120 is an apocalyptic number.

122121324120 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 122121324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186283969920).

122121324120 is an abundant number, since it is smaller than the sum of its proper divisors (250446615720).

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

122121324120 is a wasteful number, since it uses less digits than its factorization.

122121324120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122121324120 its reverse (21423121221), we get a palindrome (143544445341).

The spelling of 122121324120 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred twenty-four thousand, one hundred twenty".