12042024000 has 224 divisors, whose sum is σ = 40517283456. Its totient is φ = 3150284800.

The previous prime is 12042023999. The next prime is 12042024011. The reversal of 12042024000 is 42024021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1267267 + ... + 1276733.

Almost surely, 2^12042024000 is an apocalyptic number.

12042024000 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 12042024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258641728).

12042024000 is an abundant number, since it is smaller than the sum of its proper divisors (28475259456).

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

12042024000 is an equidigital number, since it uses as much as digits as its factorization.

12042024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12042024000 its reverse (42024021), we get a palindrome (12084048021).

The spelling of 12042024000 in words is "twelve billion, forty-two million, twenty-four thousand".