123416777260 has 144 divisors (see below), whose sum is σ = 312201540000. Its totient is φ = 40813860864.

The previous prime is 123416777227. The next prime is 123416777269. The reversal of 123416777260 is 62777614321.

123416777260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 123416777260.

It is not an unprimeable number, because it can be changed into a prime (123416777269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42600132 + ... + 42603028.

It is an arithmetic number, because the mean of its divisors is an integer number (2168066250).

Almost surely, 2^123416777260 is an apocalyptic number.

123416777260 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 123416777260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156100770000).

123416777260 is an abundant number, since it is smaller than the sum of its proper divisors (188784762740).

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

123416777260 is a wasteful number, since it uses less digits than its factorization.

123416777260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 123416777260 in words is "one hundred twenty-three billion, four hundred sixteen million, seven hundred seventy-seven thousand, two hundred sixty".