20121200233200 has 720 divisors, whose sum is σ = 78886518796800. Its totient is φ = 4704534374400.

The previous prime is 20121200233163. The next prime is 20121200233201. The reversal of 20121200233200 is 233200212102.

20121200233200 is a `hidden beast` number, since 2 + 0 + 121 + 200 + 23 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121200233201) 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, 1110493741 + ... + 1110511859.

It is an arithmetic number, because the mean of its divisors is an integer number (109564609440).

Almost surely, 2^{20121200233200} is an apocalyptic number.

20121200233200 is a gapful number since it is divisible by the number (20) 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 20121200233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39443259398400).

20121200233200 is an abundant number, since it is smaller than the sum of its proper divisors (58765318563600).

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

20121200233200 is a wasteful number, since it uses less digits than its factorization.

20121200233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19150 (or 19136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20121200233200 its reverse (233200212102), we get a palindrome (20354400445302).

The spelling of 20121200233200 in words is "twenty trillion, one hundred twenty-one billion, two hundred million, two hundred thirty-three thousand, two hundred".