122811830640 has 560 divisors, whose sum is σ = 454493008800. Its totient is φ = 30761607168.

The previous prime is 122811830551. The next prime is 122811830641. The reversal of 122811830640 is 46038118221.

122811830640 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 1 + 1 + 8 + 3 + 0 + 640 = 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 = 122811830595 and 122811830604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122811830641) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 151806556 + ... + 151807364.

Almost surely, 2^122811830640 is an apocalyptic number.

122811830640 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 122811830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227246504400).

122811830640 is an abundant number, since it is smaller than the sum of its proper divisors (331681178160).

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

122811830640 is a wasteful number, since it uses less digits than its factorization.

122811830640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 122811830640 its reverse (46038118221), we get a palindrome (168849948861).

The spelling of 122811830640 in words is "one hundred twenty-two billion, eight hundred eleven million, eight hundred thirty thousand, six hundred forty".