123013671264 has 288 divisors, whose sum is σ = 397789636608. Its totient is φ = 35721216000.

The previous prime is 123013671251. The next prime is 123013671271. The reversal of 123013671264 is 462176310321.

123013671264 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 367 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10109344 + ... + 10121504.

It is an arithmetic number, because the mean of its divisors is an integer number (1381214016).

Almost surely, 2^123013671264 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 123013671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198894818304).

123013671264 is an abundant number, since it is smaller than the sum of its proper divisors (274775965344).

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

123013671264 is a wasteful number, since it uses less digits than its factorization.

123013671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12311 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 123013671264 its reverse (462176310321), we get a palindrome (585189981585).

The spelling of 123013671264 in words is "one hundred twenty-three billion, thirteen million, six hundred seventy-one thousand, two hundred sixty-four".