122193440 has 48 divisors (see below), whose sum is σ = 291959640. Its totient is φ = 48322560.

The previous prime is 122193377. The next prime is 122193473. The reversal of 122193440 is 44391221.

It can be written as a sum of positive squares in 4 ways, for example, as 34058896 + 88134544 = 5836^2 + 9388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9950 + ... + 18530.

Almost surely, 2^122193440 is an apocalyptic number.

122193440 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 122193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145979820).

122193440 is an abundant number, since it is smaller than the sum of its proper divisors (169766200).

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

122193440 is an equidigital number, since it uses as much as digits as its factorization.

122193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 122193440 is about 11054.1141662279. The cubic root of 122193440 is about 496.2295590182.

The spelling of 122193440 in words is "one hundred twenty-two million, one hundred ninety-three thousand, four hundred forty".