122005440 has 196 divisors, whose sum is σ = 436421784. Its totient is φ = 32472576.

The previous prime is 122005427. The next prime is 122005469. The reversal of 122005440 is 44500221.

122005440 is a `hidden beast` number, since 1 + 220 + 0 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233019 + ... + 233541.

Almost surely, 2^122005440 is an apocalyptic number.

122005440 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 122005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218210892).

122005440 is an abundant number, since it is smaller than the sum of its proper divisors (314416344).

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

122005440 is an frugal number, since it uses more digits than its factorization.

122005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122005440 is about 11045.6072716714. The cubic root of 122005440 is about 495.9749380330.

Adding to 122005440 its reverse (44500221), we get a palindrome (166505661).

The spelling of 122005440 in words is "one hundred twenty-two million, five thousand, four hundred forty".