122304954240 has 512 divisors, whose sum is σ = 497629440000. Its totient is φ = 27809464320.

The previous prime is 122304954227. The next prime is 122304954257. The reversal of 122304954240 is 42459403221.

It is a happy number.

122304954240 is a `hidden beast` number, since 1 + 2 + 2 + 30 + 49 + 542 + 40 = 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 = 122304954195 and 122304954204.

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, 24068500 + ... + 24073580.

It is an arithmetic number, because the mean of its divisors is an integer number (971932500).

Almost surely, 2^122304954240 is an apocalyptic number.

122304954240 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 122304954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720000).

122304954240 is an abundant number, since it is smaller than the sum of its proper divisors (375324485760).

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

122304954240 is a wasteful number, since it uses less digits than its factorization.

122304954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 122304954240 in words is "one hundred twenty-two billion, three hundred four million, nine hundred fifty-four thousand, two hundred forty".