122743380032 has 224 divisors, whose sum is σ = 313213845504. Its totient is φ = 46419609600.

The previous prime is 122743380029. The next prime is 122743380037. The reversal of 122743380032 is 230083347221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 122743379974 and 122743380001.

It is not an unprimeable number, because it can be changed into a prime (122743380037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14981057 + ... + 14989247.

It is an arithmetic number, because the mean of its divisors is an integer number (1398276096).

Almost surely, 2^122743380032 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 122743380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156606922752).

122743380032 is an abundant number, since it is smaller than the sum of its proper divisors (190470465472).

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

122743380032 is a wasteful number, since it uses less digits than its factorization.

122743380032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 122743380032 in words is "one hundred twenty-two billion, seven hundred forty-three million, three hundred eighty thousand, thirty-two".