20412311200 has 144 divisors (see below), whose sum is σ = 51845353560. Its totient is φ = 7838208000.

The previous prime is 20412311137. The next prime is 20412311203. The reversal of 20412311200 is 211321402.

It can be written as a sum of positive squares in 12 ways, for example, as 595555216 + 19816755984 = 24404^2 + 140772^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20412311203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4196770 + ... + 4201630.

Almost surely, 2^20412311200 is an apocalyptic number.

20412311200 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 20412311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25922676780).

20412311200 is an abundant number, since it is smaller than the sum of its proper divisors (31433042360).

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

20412311200 is a wasteful number, since it uses less digits than its factorization.

20412311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20412311200 its reverse (211321402), we get a palindrome (20623632602).

The spelling of 20412311200 in words is "twenty billion, four hundred twelve million, three hundred eleven thousand, two hundred".