122123016960 has 1152 divisors, whose sum is σ = 502509256704. Its totient is φ = 24631050240.

The previous prime is 122123016941. The next prime is 122123016979. The reversal of 122123016960 is 69610321221.

It is an interprime number because it is at equal distance from previous prime (122123016941) and next prime (122123016979).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 524133004 + ... + 524133236.

It is an arithmetic number, because the mean of its divisors is an integer number (436205952).

Almost surely, 2^122123016960 is an apocalyptic number.

122123016960 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 122123016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251254628352).

122123016960 is an abundant number, since it is smaller than the sum of its proper divisors (380386239744).

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

122123016960 is a wasteful number, since it uses less digits than its factorization.

122123016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 122123016960 in words is "one hundred twenty-two billion, one hundred twenty-three million, sixteen thousand, nine hundred sixty".