12629000 has 64 divisors (see below), whose sum is σ = 30129840. Its totient is φ = 4953600.

The previous prime is 12628991. The next prime is 12629003. The reversal of 12629000 is 92621.

12629000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 2427364 + 10201636 = 1558^2 + 3194^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12629003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72914 + ... + 73086.

Almost surely, 2^12629000 is an apocalyptic number.

12629000 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 12629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064920).

12629000 is an abundant number, since it is smaller than the sum of its proper divisors (17500840).

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

12629000 is a wasteful number, since it uses less digits than its factorization.

12629000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 12629000 is about 3553.7304343464. The cubic root of 12629000 is about 232.8750642629.

The spelling of 12629000 in words is "twelve million, six hundred twenty-nine thousand".