122043050312120 has 512 divisors, whose sum is σ = 338148311040000. Its totient is φ = 38715208519680.

The previous prime is 122043050312111. The next prime is 122043050312201. The reversal of 122043050312120 is 21213050340221.

It is a super-2 number, since 2×122043050312120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122043050312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71832283031 + ... + 71832284729.

It is an arithmetic number, because the mean of its divisors is an integer number (660445920000).

Almost surely, 2^{122043050312120} is an apocalyptic number.

122043050312120 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 122043050312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169074155520000).

122043050312120 is an abundant number, since it is smaller than the sum of its proper divisors (216105260727880).

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

122043050312120 is a wasteful number, since it uses less digits than its factorization.

122043050312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 122043050312120 in words is "one hundred twenty-two trillion, forty-three billion, fifty million, three hundred twelve thousand, one hundred twenty".