12121133341200 has 480 divisors, whose sum is σ = 44712956437632. Its totient is φ = 2780344320000.

The previous prime is 12121133341181. The next prime is 12121133341211. The reversal of 12121133341200 is 214333112121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26558935 + ... + 27011465.

Almost surely, 2^{12121133341200} is an apocalyptic number.

12121133341200 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 12121133341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356478218816).

12121133341200 is an abundant number, since it is smaller than the sum of its proper divisors (32591823096432).

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

12121133341200 is a wasteful number, since it uses less digits than its factorization.

12121133341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452683 (or 452672 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12121133341200 its reverse (214333112121), we get a palindrome (12335466453321).

The spelling of 12121133341200 in words is "twelve trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred forty-one thousand, two hundred".