122966038944 has 288 divisors, whose sum is σ = 407003950080. Its totient is φ = 34488115200.

The previous prime is 122966038907. The next prime is 122966038963. The reversal of 122966038944 is 449830669221.

122966038944 is a `hidden beast` number, since 1 + 2 + 29 + 6 + 603 + 8 + 9 + 4 + 4 = 666.

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

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, 121868712 + ... + 121869720.

It is an arithmetic number, because the mean of its divisors is an integer number (1413208160).

Almost surely, 2^122966038944 is an apocalyptic number.

122966038944 is a gapful number since it is divisible by the number (14) 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 122966038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203501975040).

122966038944 is an abundant number, since it is smaller than the sum of its proper divisors (284037911136).

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

122966038944 is a wasteful number, since it uses less digits than its factorization.

122966038944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 122966038944 in words is "one hundred twenty-two billion, nine hundred sixty-six million, thirty-eight thousand, nine hundred forty-four".