12042332400 has 240 divisors, whose sum is σ = 44338233600. Its totient is φ = 2736814080.

The previous prime is 12042332371. The next prime is 12042332417. The reversal of 12042332400 is 423324021.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1499596 + ... + 1507604.

It is an arithmetic number, because the mean of its divisors is an integer number (184742640).

Almost surely, 2^12042332400 is an apocalyptic number.

12042332400 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 12042332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22169116800).

12042332400 is an abundant number, since it is smaller than the sum of its proper divisors (32295901200).

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

12042332400 is a wasteful number, since it uses less digits than its factorization.

12042332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12042332400 its reverse (423324021), we get a palindrome (12465656421).

The spelling of 12042332400 in words is "twelve billion, forty-two million, three hundred thirty-two thousand, four hundred".