122560355440 has 40 divisors (see below), whose sum is σ = 289782546480. Its totient is φ = 48193222656.

The previous prime is 122560355431. The next prime is 122560355447. The reversal of 122560355440 is 44553065221.

122560355440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 122560355440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122560355447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12978369 + ... + 12987808.

It is an arithmetic number, because the mean of its divisors is an integer number (7244563662).

Almost surely, 2^122560355440 is an apocalyptic number.

122560355440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122560355440 is an abundant number, since it is smaller than the sum of its proper divisors (167222191040).

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

122560355440 is a wasteful number, since it uses less digits than its factorization.

122560355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25966249 (or 25966243 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 122560355440 in words is "one hundred twenty-two billion, five hundred sixty million, three hundred fifty-five thousand, four hundred forty".