122210433040340 has 48 divisors (see below), whose sum is σ = 265492821258000. Its totient is φ = 47198300362752.

The previous prime is 122210433040321. The next prime is 122210433040349. The reversal of 122210433040340 is 43040334012221.

It can be written as a sum of positive squares in 8 ways, for example, as 713207274256 + 121497225766084 = 844516^2 + 11022578^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210433040349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208668236 + ... + 209253084.

It is an arithmetic number, because the mean of its divisors is an integer number (5531100442875).

Almost surely, 2^{122210433040340} is an apocalyptic number.

122210433040340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122210433040340 is an abundant number, since it is smaller than the sum of its proper divisors (143282388217660).

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

122210433040340 is a wasteful number, since it uses less digits than its factorization.

122210433040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945164 (or 945162 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 122210433040340 its reverse (43040334012221), we get a palindrome (165250767052561).

The spelling of 122210433040340 in words is "one hundred twenty-two trillion, two hundred ten billion, four hundred thirty-three million, forty thousand, three hundred forty".