20121330231200 has 144 divisors (see below), whose sum is σ = 53590059141696. Its totient is φ = 7316397004800.

The previous prime is 20121330231199. The next prime is 20121330231209. The reversal of 20121330231200 is 213203312102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20121330231209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164877404 + ... + 164999396.

It is an arithmetic number, because the mean of its divisors is an integer number (372153188484).

Almost surely, 2^{20121330231200} is an apocalyptic number.

20121330231200 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 20121330231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26795029570848).

20121330231200 is an abundant number, since it is smaller than the sum of its proper divisors (33468728910496).

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

20121330231200 is a wasteful number, since it uses less digits than its factorization.

20121330231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140767 (or 140754 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20121330231200 its reverse (213203312102), we get a palindrome (20334533543302).

The spelling of 20121330231200 in words is "twenty trillion, one hundred twenty-one billion, three hundred thirty million, two hundred thirty-one thousand, two hundred".