122053584240 has 320 divisors, whose sum is σ = 493452702720. Its totient is φ = 27143838720.

The previous prime is 122053584199. The next prime is 122053584253. The reversal of 122053584240 is 42485350221.

122053584240 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 53 + 584 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122053584195 and 122053584204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450355 + ... + 668525.

It is an arithmetic number, because the mean of its divisors is an integer number (1542039696).

Almost surely, 2^122053584240 is an apocalyptic number.

122053584240 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 122053584240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246726351360).

122053584240 is an abundant number, since it is smaller than the sum of its proper divisors (371399118480).

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

122053584240 is a wasteful number, since it uses less digits than its factorization.

122053584240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218237 (or 218225 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 122053584240 in words is "one hundred twenty-two billion, fifty-three million, five hundred eighty-four thousand, two hundred forty".