12129089280 has 1152 divisors, whose sum is σ = 54252011520. Its totient is φ = 2229534720.

The previous prime is 12129089207. The next prime is 12129089281. The reversal of 12129089280 is 8298092121.

It is a super-2 number, since 2×12129089280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12129089281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95504577 + ... + 95504703.

It is an arithmetic number, because the mean of its divisors is an integer number (47093760).

Almost surely, 2^12129089280 is an apocalyptic number.

12129089280 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 12129089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126005760).

12129089280 is an abundant number, since it is smaller than the sum of its proper divisors (42122922240).

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

12129089280 is a wasteful number, since it uses less digits than its factorization.

12129089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 12129089280 in words is "twelve billion, one hundred twenty-nine million, eighty-nine thousand, two hundred eighty".