123261264 has 180 divisors, whose sum is σ = 416785824. Its totient is φ = 35163072.

The previous prime is 123261241. The next prime is 123261269. The reversal of 123261264 is 462162321.

123261264 is a `hidden beast` number, since 12 + 32 + 612 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123261269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190189 + ... + 190835.

Almost surely, 2^123261264 is an apocalyptic number.

123261264 is a gapful number since it is divisible by the number (14) 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 123261264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

123261264 is an abundant number, since it is smaller than the sum of its proper divisors (293524560).

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

123261264 is an equidigital number, since it uses as much as digits as its factorization.

123261264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 123261264 is about 11102.3089490430. The cubic root of 123261264 is about 497.6708523228.

The spelling of 123261264 in words is "one hundred twenty-three million, two hundred sixty-one thousand, two hundred sixty-four".