12129600 has 252 divisors, whose sum is σ = 47999904. Its totient is φ = 2626560.

The previous prime is 12129583. The next prime is 12129617. The reversal of 12129600 is 692121.

It is an interprime number because it is at equal distance from previous prime (12129583) and next prime (12129617).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 638391 + ... + 638409.

Almost surely, 2^12129600 is an apocalyptic number.

12129600 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 12129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999952).

12129600 is an abundant number, since it is smaller than the sum of its proper divisors (35870304).

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

12129600 is a wasteful number, since it uses less digits than its factorization.

12129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12129600 is about 3482.7575281664. The cubic root of 12129600 is about 229.7640933414.

Multiplying 12129600 by its sum of digits (21), we get a square (254721600 = 15960²).

12129600 divided by its sum of digits (21) gives a square (577600 = 760²).

The spelling of 12129600 in words is "twelve million, one hundred twenty-nine thousand, six hundred".