123330777416 has 128 divisors (see below), whose sum is σ = 291930946560. Its totient is φ = 47449670400.

The previous prime is 123330777407. The next prime is 123330777419. The reversal of 123330777416 is 614777033321.

123330777416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (123330777419) 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 31 ways as a sum of consecutive naturals, for example, 21814046 + ... + 21819698.

It is an arithmetic number, because the mean of its divisors is an integer number (2280710520).

Almost surely, 2^123330777416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123330777416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145965473280).

123330777416 is an abundant number, since it is smaller than the sum of its proper divisors (168600169144).

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

123330777416 is a wasteful number, since it uses less digits than its factorization.

123330777416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 44.

The spelling of 123330777416 in words is "one hundred twenty-three billion, three hundred thirty million, seven hundred seventy-seven thousand, four hundred sixteen".