122547436440 has 384 divisors, whose sum is σ = 437179680000. Its totient is φ = 27240744960.

The previous prime is 122547436439. The next prime is 122547436471. The reversal of 122547436440 is 44634745221.

It is a happy number.

122547436440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122547436392 and 122547436401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35021811 + ... + 35025309.

It is an arithmetic number, because the mean of its divisors is an integer number (1138488750).

Almost surely, 2^122547436440 is an apocalyptic number.

122547436440 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 122547436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218589840000).

122547436440 is an abundant number, since it is smaller than the sum of its proper divisors (314632243560).

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

122547436440 is a wasteful number, since it uses less digits than its factorization.

122547436440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 122547436440 in words is "one hundred twenty-two billion, five hundred forty-seven million, four hundred thirty-six thousand, four hundred forty".