122233142240 has 96 divisors (see below), whose sum is σ = 315141031296. Its totient is φ = 44432488960.

The previous prime is 122233142237. The next prime is 122233142257. The reversal of 122233142240 is 42241332221.

It is a super-3 number, since 3×122233142240³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5626439 + ... + 5648121.

It is an arithmetic number, because the mean of its divisors is an integer number (3282719076).

Almost surely, 2^122233142240 is an apocalyptic number.

122233142240 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 122233142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157570515648).

122233142240 is an abundant number, since it is smaller than the sum of its proper divisors (192907889056).

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

122233142240 is a wasteful number, since it uses less digits than its factorization.

122233142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24912 (or 24904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 122233142240 its reverse (42241332221), we get a palindrome (164474474461).

The spelling of 122233142240 in words is "one hundred twenty-two billion, two hundred thirty-three million, one hundred forty-two thousand, two hundred forty".