122392045440 has 2048 divisors, whose sum is σ = 562609152000. Its totient is φ = 24524881920.

The previous prime is 122392045423. The next prime is 122392045453. The reversal of 122392045440 is 44540293221.

It is a happy number.

122392045440 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 9 + 204 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122392045395 and 122392045404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2985171820 + ... + 2985171860.

It is an arithmetic number, because the mean of its divisors is an integer number (274711500).

Almost surely, 2^122392045440 is an apocalyptic number.

122392045440 is a gapful number since it is divisible by the number (10) 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 122392045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281304576000).

122392045440 is an abundant number, since it is smaller than the sum of its proper divisors (440217106560).

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

122392045440 is a wasteful number, since it uses less digits than its factorization.

122392045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 122392045440 in words is "one hundred twenty-two billion, three hundred ninety-two million, forty-five thousand, four hundred forty".