12002256000 has 1024 divisors, whose sum is σ = 52191360000. Its totient is φ = 2743372800.

The previous prime is 12002255879. The next prime is 12002256017. The reversal of 12002256000 is 65220021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×12002256000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1714607997 + ... + 1714608003.

It is an arithmetic number, because the mean of its divisors is an integer number (50968125).

Almost surely, 2^12002256000 is an apocalyptic number.

12002256000 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 12002256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26095680000).

12002256000 is an abundant number, since it is smaller than the sum of its proper divisors (40189104000).

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

12002256000 is an frugal number, since it uses more digits than its factorization.

12002256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12002256000 its reverse (65220021), we get a palindrome (12067476021).

The spelling of 12002256000 in words is "twelve billion, two million, two hundred fifty-six thousand".