122333442240 has 224 divisors, whose sum is σ = 402187135680. Its totient is φ = 31467175936.

The previous prime is 122333442181. The next prime is 122333442247. The reversal of 122333442240 is 42244333221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122333442198 and 122333442207.

It is not an unprimeable number, because it can be changed into a prime (122333442247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53256772 + ... + 53259068.

Almost surely, 2^122333442240 is an apocalyptic number.

122333442240 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 122333442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201093567840).

122333442240 is an abundant number, since it is smaller than the sum of its proper divisors (279853693440).

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

122333442240 is a wasteful number, since it uses less digits than its factorization.

122333442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 122333442240 its reverse (42244333221), we get a palindrome (164577775461).

The spelling of 122333442240 in words is "one hundred twenty-two billion, three hundred thirty-three million, four hundred forty-two thousand, two hundred forty".