122369214240 has 1920 divisors, whose sum is σ = 577015971840. Its totient is φ = 23702740992.

The previous prime is 122369214203. The next prime is 122369214271. The reversal of 122369214240 is 42412963221.

It is a happy number.

122369214240 is a `hidden beast` number, since 1 + 223 + 6 + 9 + 2 + 1 + 424 + 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 = 122369214195 and 122369214204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 963537057 + ... + 963537183.

It is an arithmetic number, because the mean of its divisors is an integer number (300529152).

Almost surely, 2^122369214240 is an apocalyptic number.

122369214240 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 122369214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288507985920).

122369214240 is an abundant number, since it is smaller than the sum of its proper divisors (454646757600).

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

122369214240 is a wasteful number, since it uses less digits than its factorization.

122369214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 122369214240 in words is "one hundred twenty-two billion, three hundred sixty-nine million, two hundred fourteen thousand, two hundred forty".