122423558040 has 1152 divisors, whose sum is σ = 510898752000. Its totient is φ = 25256448000.

The previous prime is 122423558017. The next prime is 122423558071. The reversal of 122423558040 is 40855324221.

122423558040 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 35 + 580 + 40 = 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 = 122423557986 and 122423558004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 810751965 + ... + 810752115.

It is an arithmetic number, because the mean of its divisors is an integer number (443488500).

Almost surely, 2^122423558040 is an apocalyptic number.

122423558040 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 122423558040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255449376000).

122423558040 is an abundant number, since it is smaller than the sum of its proper divisors (388475193960).

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

122423558040 is a wasteful number, since it uses less digits than its factorization.

122423558040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 122423558040 in words is "one hundred twenty-two billion, four hundred twenty-three million, five hundred fifty-eight thousand, forty".