122083124034760 has 384 divisors, whose sum is σ = 328902160608000. Its totient is φ = 40759021255680.

The previous prime is 122083124034737. The next prime is 122083124034787. The reversal of 122083124034760 is 67430421380221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6250726195 + ... + 6250745725.

It is an arithmetic number, because the mean of its divisors is an integer number (856516043250).

Almost surely, 2^{122083124034760} is an apocalyptic number.

122083124034760 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 122083124034760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164451080304000).

122083124034760 is an abundant number, since it is smaller than the sum of its proper divisors (206819036573240).

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

122083124034760 is an equidigital number, since it uses as much as digits as its factorization.

122083124034760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19794 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 122083124034760 in words is "one hundred twenty-two trillion, eighty-three billion, one hundred twenty-four million, thirty-four thousand, seven hundred sixty".