20011312120200 has 192 divisors, whose sum is σ = 62637369880320. Its totient is φ = 5284574880000.

The previous prime is 20011312120199. The next prime is 20011312120201. The reversal of 20011312120200 is 202121311002.

It is an interprime number because it is at equal distance from previous prime (20011312120199) and next prime (20011312120201).

It is a super-2 number, since 2×20011312120200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20011312120200.

It is not an unprimeable number, because it can be changed into a prime (20011312120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182979535 + ... + 183088865.

It is an arithmetic number, because the mean of its divisors is an integer number (326236301460).

Almost surely, 2^{20011312120200} is an apocalyptic number.

20011312120200 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 20011312120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31318684940160).

20011312120200 is an abundant number, since it is smaller than the sum of its proper divisors (42626057760120).

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

20011312120200 is a wasteful number, since it uses less digits than its factorization.

20011312120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112308 (or 112299 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20011312120200 its reverse (202121311002), we get a palindrome (20213433431202).

The spelling of 20011312120200 in words is "twenty trillion, eleven billion, three hundred twelve million, one hundred twenty thousand, two hundred".