20412363124200 has 192 divisors, whose sum is σ = 67066236861120. Its totient is φ = 5118082560000.

The previous prime is 20412363124159. The next prime is 20412363124211. The reversal of 20412363124200 is 242136321402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9434175 + ... + 11394225.

It is an arithmetic number, because the mean of its divisors is an integer number (349303316985).

Almost surely, 2^{20412363124200} is an apocalyptic number.

20412363124200 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 20412363124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33533118430560).

20412363124200 is an abundant number, since it is smaller than the sum of its proper divisors (46653873736920).

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

20412363124200 is a wasteful number, since it uses less digits than its factorization.

20412363124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961108 (or 1961099 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 20412363124200 its reverse (242136321402), we get a palindrome (20654499445602).

The spelling of 20412363124200 in words is "twenty trillion, four hundred twelve billion, three hundred sixty-three million, one hundred twenty-four thousand, two hundred".