122832145440 has 576 divisors, whose sum is σ = 484532979840. Its totient is φ = 29202923520.

The previous prime is 122832145399. The next prime is 122832145493. The reversal of 122832145440 is 44541238221.

122832145440 is a `hidden beast` number, since 1 + 22 + 83 + 2 + 14 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122832145395 and 122832145404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12553350 + ... + 12563130.

It is an arithmetic number, because the mean of its divisors is an integer number (841203090).

Almost surely, 2^122832145440 is an apocalyptic number.

122832145440 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 122832145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242266489920).

122832145440 is an abundant number, since it is smaller than the sum of its proper divisors (361700834400).

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

122832145440 is a wasteful number, since it uses less digits than its factorization.

122832145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9847 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 122832145440 in words is "one hundred twenty-two billion, eight hundred thirty-two million, one hundred forty-five thousand, four hundred forty".