12121333200000 has 2304 divisors, whose sum is σ = 48782696770080. Its totient is φ = 2875392000000.

The previous prime is 12121333199953. The next prime is 12121333200029. The reversal of 12121333200000 is 233312121.

12121333200000 is a `hidden beast` number, since 1 + 212 + 133 + 320 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 5633635166784 + 6487698033216 = 2373528^2 + 2547096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120013199950 + ... + 120013200050.

Almost surely, 2^{12121333200000} is an apocalyptic number.

12121333200000 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 12121333200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391348385040).

12121333200000 is an abundant number, since it is smaller than the sum of its proper divisors (36661363570080).

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

12121333200000 is a wasteful number, since it uses less digits than its factorization.

12121333200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12121333200000 its reverse (233312121), we get a palindrome (12121566512121).

The spelling of 12121333200000 in words is "twelve trillion, one hundred twenty-one billion, three hundred thirty-three million, two hundred thousand".