12420434000 has 160 divisors (see below), whose sum is σ = 32437257216. Its totient is φ = 4572633600.

The previous prime is 12420433999. The next prime is 12420434027. The reversal of 12420434000 is 43402421.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15781607 + ... + 15782393.

Almost surely, 2^12420434000 is an apocalyptic number.

12420434000 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 12420434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218628608).

12420434000 is an abundant number, since it is smaller than the sum of its proper divisors (20016823216).

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

12420434000 is a wasteful number, since it uses less digits than its factorization.

12420434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12420434000 its reverse (43402421), we get a palindrome (12463836421).

The spelling of 12420434000 in words is "twelve billion, four hundred twenty million, four hundred thirty-four thousand".