122405210055440 has 120 divisors (see below), whose sum is σ = 308178330357960. Its totient is φ = 45194224238592.

The previous prime is 122405210055437. The next prime is 122405210055463. The reversal of 122405210055440 is 44550012504221.

It can be written as a sum of positive squares in 12 ways, for example, as 93668019794176 + 28737190261264 = 9678224^2 + 5360708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122405210055440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441870896 + ... + 442147824.

It is an arithmetic number, because the mean of its divisors is an integer number (2568152752983).

Almost surely, 2^{122405210055440} is an apocalyptic number.

122405210055440 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 122405210055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154089165178980).

122405210055440 is an abundant number, since it is smaller than the sum of its proper divisors (185773120302520).

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

122405210055440 is a wasteful number, since it uses less digits than its factorization.

122405210055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309661 (or 309642 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 122405210055440 its reverse (44550012504221), we get a palindrome (166955222559661).

The spelling of 122405210055440 in words is "one hundred twenty-two trillion, four hundred five billion, two hundred ten million, fifty-five thousand, four hundred forty".