12122003331300 has 144 divisors (see below), whose sum is σ = 36605277112320. Its totient is φ = 3091366776960.

The previous prime is 12122003331287. The next prime is 12122003331301. The reversal of 12122003331300 is 313330022121.

It is not an unprimeable number, because it can be changed into a prime (12122003331301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34594779 + ... + 34943421.

It is an arithmetic number, because the mean of its divisors is an integer number (254203313280).

Almost surely, 2^{12122003331300} is an apocalyptic number.

12122003331300 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 12122003331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18302638556160).

12122003331300 is an abundant number, since it is smaller than the sum of its proper divisors (24483273781020).

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

12122003331300 is a wasteful number, since it uses less digits than its factorization.

12122003331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353722 (or 353715 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12122003331300 its reverse (313330022121), we get a palindrome (12435333353421).

The spelling of 12122003331300 in words is "twelve trillion, one hundred twenty-two billion, three million, three hundred thirty-one thousand, three hundred".