12121480800 has 864 divisors, whose sum is σ = 51303653856. Its totient is φ = 2654208000.

The previous prime is 12121480783. The next prime is 12121480807. The reversal of 12121480800 is 808412121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121480807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62805504 + ... + 62805696.

It is an arithmetic number, because the mean of its divisors is an integer number (59379229).

Almost surely, 2^12121480800 is an apocalyptic number.

12121480800 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 12121480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25651826928).

12121480800 is an abundant number, since it is smaller than the sum of its proper divisors (39182173056).

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

12121480800 is a wasteful number, since it uses less digits than its factorization.

12121480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 12121480800 its reverse (808412121), we get a palindrome (12929892921).

The spelling of 12121480800 in words is "twelve billion, one hundred twenty-one million, four hundred eighty thousand, eight hundred".