122346840 has 128 divisors (see below), whose sum is σ = 457643520. Its totient is φ = 25420800.

The previous prime is 122346823. The next prime is 122346857. The reversal of 122346840 is 48643221.

It is an interprime number because it is at equal distance from previous prime (122346823) and next prime (122346857).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 122346798 and 122346807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2620 + ... + 15860.

It is an arithmetic number, because the mean of its divisors is an integer number (3575340).

Almost surely, 2^122346840 is an apocalyptic number.

122346840 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 122346840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228821760).

122346840 is an abundant number, since it is smaller than the sum of its proper divisors (335296680).

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

122346840 is a wasteful number, since it uses less digits than its factorization.

122346840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273 (or 13269 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 122346840 is about 11061.0505830143. The cubic root of 122346840 is about 496.4371254869.

The spelling of 122346840 in words is "one hundred twenty-two million, three hundred forty-six thousand, eight hundred forty".