122796828480312 has 960 divisors, whose sum is σ = 428297740992000. Its totient is φ = 32678272972800.

The previous prime is 122796828480299. The next prime is 122796828480343. The reversal of 122796828480312 is 213084828697221.

122796828480312 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 96 + 82 + 84 + 80 + 312 = 666.

It is a super-2 number, since 2×122796828480312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 122796828480312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11485994887 + ... + 11486005577.

It is an arithmetic number, because the mean of its divisors is an integer number (446143480200).

Almost surely, 2^{122796828480312} is an apocalyptic number.

122796828480312 is a gapful number since it is divisible by the number (12) 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 122796828480312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214148870496000).

122796828480312 is an abundant number, since it is smaller than the sum of its proper divisors (305500912511688).

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

122796828480312 is a wasteful number, since it uses less digits than its factorization.

122796828480312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11042 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 122796828480312 in words is "one hundred twenty-two trillion, seven hundred ninety-six billion, eight hundred twenty-eight million, four hundred eighty thousand, three hundred twelve".