20331003121200 has 240 divisors, whose sum is σ = 72383347382560. Its totient is φ = 5420099681280.

The previous prime is 20331003121157. The next prime is 20331003121217. The reversal of 20331003121200 is 212130013302.

20331003121200 is a `hidden beast` number, since 2 + 0 + 331 + 0 + 0 + 312 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 39020802 + ... + 39538398.

Almost surely, 2^{20331003121200} is an apocalyptic number.

20331003121200 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 20331003121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36191673691280).

20331003121200 is an abundant number, since it is smaller than the sum of its proper divisors (52052344261360).

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

20331003121200 is a wasteful number, since it uses less digits than its factorization.

20331003121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521261 (or 521244 counting only the distinct ones).

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

Adding to 20331003121200 its reverse (212130013302), we get a palindrome (20543133134502).

The spelling of 20331003121200 in words is "twenty trillion, three hundred thirty-one billion, three million, one hundred twenty-one thousand, two hundred".