122001961312 has 288 divisors, whose sum is σ = 308395999296. Its totient is φ = 46495088640.

The previous prime is 122001961297. The next prime is 122001961339. The reversal of 122001961312 is 213169100221.

It is a super-2 number, since 2×122001961312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389782468 + ... + 389782780.

It is an arithmetic number, because the mean of its divisors is an integer number (1070819442).

Almost surely, 2^122001961312 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 122001961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154197999648).

122001961312 is an abundant number, since it is smaller than the sum of its proper divisors (186394037984).

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

122001961312 is a wasteful number, since it uses less digits than its factorization.

122001961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 122001961312 in words is "one hundred twenty-two billion, one million, nine hundred sixty-one thousand, three hundred twelve".