12129768 has 96 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3375360.

The previous prime is 12129737. The next prime is 12129769. The reversal of 12129768 is 86792121.

12129768 = 272² + 273² + ... + 383².

12129768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12129768⁴ (a number of 29 digits) contains 4444 as substring.

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

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (12129769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20371 + ... + 20957.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 2^12129768 is an apocalyptic number.

12129768 is a gapful number since it is divisible by the number (18) 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 12129768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

12129768 is an abundant number, since it is smaller than the sum of its proper divisors (26395992).

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

12129768 is a wasteful number, since it uses less digits than its factorization.

12129768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12129768 is about 3482.7816469024. The cubic root of 12129768 is about 229.7651541126.

The spelling of 12129768 in words is "twelve million, one hundred twenty-nine thousand, seven hundred sixty-eight".