122331035552440 has 256 divisors, whose sum is σ = 332215877952000. Its totient is φ = 39938935265280.

The previous prime is 122331035552431. The next prime is 122331035552441. The reversal of 122331035552440 is 44255530133221.

122331035552440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 122331035552393 and 122331035552402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331035552441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 638845431 + ... + 639036889.

It is an arithmetic number, because the mean of its divisors is an integer number (1297718273250).

Almost surely, 2^{122331035552440} is an apocalyptic number.

122331035552440 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 122331035552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166107938976000).

122331035552440 is an abundant number, since it is smaller than the sum of its proper divisors (209884842399560).

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

122331035552440 is a wasteful number, since it uses less digits than its factorization.

122331035552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194550 (or 194546 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 122331035552440 its reverse (44255530133221), we get a palindrome (166586565685661).

The spelling of 122331035552440 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, thirty-five million, five hundred fifty-two thousand, four hundred forty".