123015564 has 192 divisors, whose sum is σ = 391372800. Its totient is φ = 32659200.

The previous prime is 123015521. The next prime is 123015601. The reversal of 123015564 is 465510321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679554 + ... + 679734.

It is an arithmetic number, because the mean of its divisors is an integer number (2038400).

Almost surely, 2^123015564 is an apocalyptic number.

123015564 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 123015564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195686400).

123015564 is an abundant number, since it is smaller than the sum of its proper divisors (268357236).

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

123015564 is a wasteful number, since it uses less digits than its factorization.

123015564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 123015564 is about 11091.2381635235. The cubic root of 123015564 is about 497.3399587908.

Adding to 123015564 its reverse (465510321), we get a palindrome (588525885).

The spelling of 123015564 in words is "one hundred twenty-three million, fifteen thousand, five hundred sixty-four".