122966948412 has 216 divisors, whose sum is σ = 391122871776. Its totient is φ = 31885920000.

The previous prime is 122966948389. The next prime is 122966948413. The reversal of 122966948412 is 214849669221.

122966948412 is a `hidden beast` number, since 1 + 2 + 2 + 96 + 69 + 484 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122966948413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20152162 + ... + 20158262.

It is an arithmetic number, because the mean of its divisors is an integer number (1810754036).

Almost surely, 2^122966948412 is an apocalyptic number.

122966948412 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 122966948412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195561435888).

122966948412 is an abundant number, since it is smaller than the sum of its proper divisors (268155923364).

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

122966948412 is a wasteful number, since it uses less digits than its factorization.

122966948412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6785 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 122966948412 in words is "one hundred twenty-two billion, nine hundred sixty-six million, nine hundred forty-eight thousand, four hundred twelve".