12123434000 has 80 divisors (see below), whose sum is σ = 29605198896. Its totient is φ = 4801280000.

The previous prime is 12123433999. The next prime is 12123434039. The reversal of 12123434000 is 43432121.

It can be written as a sum of positive squares in 8 ways, for example, as 121793296 + 12001640704 = 11036^2 + 109552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171992 + ... + 232008.

Almost surely, 2^12123434000 is an apocalyptic number.

12123434000 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 12123434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802599448).

12123434000 is an abundant number, since it is smaller than the sum of its proper divisors (17481764896).

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

12123434000 is a wasteful number, since it uses less digits than its factorization.

12123434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60141 (or 60125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12123434000 its reverse (43432121), we get a palindrome (12166866121).

The spelling of 12123434000 in words is "twelve billion, one hundred twenty-three million, four hundred thirty-four thousand".