122024981664 has 144 divisors (see below), whose sum is σ = 366198749280. Its totient is φ = 38436456960.

The previous prime is 122024981657. The next prime is 122024981669. The reversal of 122024981664 is 466189420221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (122024981669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2144299 + ... + 2200469.

It is an arithmetic number, because the mean of its divisors is an integer number (2543046870).

Almost surely, 2^122024981664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122024981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183099374640).

122024981664 is an abundant number, since it is smaller than the sum of its proper divisors (244173767616).

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

122024981664 is a wasteful number, since it uses less digits than its factorization.

122024981664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56603 (or 56592 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 122024981664 in words is "one hundred twenty-two billion, twenty-four million, nine hundred eighty-one thousand, six hundred sixty-four".