122504040 has 192 divisors, whose sum is σ = 433751760. Its totient is φ = 29859840.

The previous prime is 122504029. The next prime is 122504051. The reversal of 122504040 is 40405221.

122504040 is a `hidden beast` number, since 12 + 250 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122504029) and next prime (122504051).

It can be written as a sum of positive squares in 8 ways, for example, as 90897156 + 31606884 = 9534^2 + 5622^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 226170 + ... + 226710.

Almost surely, 2^122504040 is an apocalyptic number.

122504040 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 122504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216875880).

122504040 is an abundant number, since it is smaller than the sum of its proper divisors (311247720).

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

122504040 is a wasteful number, since it uses less digits than its factorization.

122504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 605 counting only the distinct ones).

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

The square root of 122504040 is about 11068.1543176810. The cubic root of 122504040 is about 496.6496538372.

Adding to 122504040 its reverse (40405221), we get a palindrome (162909261).

It can be divided in two parts, 12250 and 4040, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 122504040 in words is "one hundred twenty-two million, five hundred four thousand, forty".