122193960 has 256 divisors, whose sum is σ = 456192000. Its totient is φ = 25546752.

The previous prime is 122193949. The next prime is 122194001. The reversal of 122193960 is 69391221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 613941 + ... + 614139.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^122193960 is an apocalyptic number.

122193960 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 122193960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

122193960 is an abundant number, since it is smaller than the sum of its proper divisors (333998040).

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

122193960 is a wasteful number, since it uses less digits than its factorization.

122193960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 122193960 is about 11054.1376868574. The cubic root of 122193960 is about 496.2302629267.

The spelling of 122193960 in words is "one hundred twenty-two million, one hundred ninety-three thousand, nine hundred sixty".