12121508044800 has 3360 divisors, whose sum is σ = 57357307647360. Its totient is φ = 2488408473600.

The previous prime is 12121508044781. The next prime is 12121508044801. The reversal of 12121508044800 is 844080512121.

12121508044800 is a `hidden beast` number, since 1 + 2 + 121 + 50 + 8 + 0 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×12121508044800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121508044801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146042265559 + ... + 146042265641.

It is an arithmetic number, because the mean of its divisors is an integer number (17070627276).

Almost surely, 2^{12121508044800} is an apocalyptic number.

12121508044800 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 12121508044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678653823680).

12121508044800 is an abundant number, since it is smaller than the sum of its proper divisors (45235799602560).

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

12121508044800 is an frugal number, since it uses more digits than its factorization.

12121508044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 12121508044800 its reverse (844080512121), we get a palindrome (12965588556921).

The spelling of 12121508044800 in words is "twelve trillion, one hundred twenty-one billion, five hundred eight million, forty-four thousand, eight hundred".