122759040 has 128 divisors (see below), whose sum is σ = 414421920. Its totient is φ = 30801920.

The previous prime is 122759033. The next prime is 122759041. The reversal of 122759040 is 40957221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122758989 and 122759007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122759041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30760 + ... + 34520.

Almost surely, 2^122759040 is an apocalyptic number.

122759040 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 122759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207210960).

122759040 is an abundant number, since it is smaller than the sum of its proper divisors (291662880).

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

122759040 is a wasteful number, since it uses less digits than its factorization.

122759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 122759040 is about 11079.6678650580. The cubic root of 122759040 is about 496.9940176898.

The spelling of 122759040 in words is "one hundred twenty-two million, seven hundred fifty-nine thousand, forty".