122525320440 has 128 divisors (see below), whose sum is σ = 372463660800. Its totient is φ = 32239933440.

The previous prime is 122525320429. The next prime is 122525320457. The reversal of 122525320440 is 44023525221.

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 = 122525320398 and 122525320407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8548480 + ... + 8562800.

It is an arithmetic number, because the mean of its divisors is an integer number (2909872350).

Almost surely, 2^122525320440 is an apocalyptic number.

122525320440 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 122525320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186231830400).

122525320440 is an abundant number, since it is smaller than the sum of its proper divisors (249938340360).

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

122525320440 is a wasteful number, since it uses less digits than its factorization.

122525320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 122525320440 its reverse (44023525221), we get a palindrome (166548845661).

The spelling of 122525320440 in words is "one hundred twenty-two billion, five hundred twenty-five million, three hundred twenty thousand, four hundred forty".