122217864740640 has 288 divisors, whose sum is σ = 418008273096960. Its totient is φ = 32518041034752.

The previous prime is 122217864740627. The next prime is 122217864740683. The reversal of 122217864740640 is 46047468712221.

122217864740640 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 178 + 64 + 7 + 406 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122217864740640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1927421256 + ... + 1927484664.

It is an arithmetic number, because the mean of its divisors is an integer number (1451417614920).

Almost surely, 2^{122217864740640} is an apocalyptic number.

122217864740640 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 122217864740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209004136548480).

122217864740640 is an abundant number, since it is smaller than the sum of its proper divisors (295790408356320).

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

122217864740640 is a wasteful number, since it uses less digits than its factorization.

122217864740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66424 (or 66413 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 122217864740640 in words is "one hundred twenty-two trillion, two hundred seventeen billion, eight hundred sixty-four million, seven hundred forty thousand, six hundred forty".