122419440 has 480 divisors, whose sum is σ = 511842240. Its totient is φ = 25804800.

The previous prime is 122419433. The next prime is 122419441. The reversal of 122419440 is 44914221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122419441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2985820 + ... + 2985860.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^122419440 is an apocalyptic number.

122419440 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 122419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

122419440 is an abundant number, since it is smaller than the sum of its proper divisors (389422800).

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

122419440 is a wasteful number, since it uses less digits than its factorization.

122419440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 122419440 is about 11064.3318822241. The cubic root of 122419440 is about 496.5353005024.

The spelling of 122419440 in words is "one hundred twenty-two million, four hundred nineteen thousand, four hundred forty".