20011210000000 has 512 divisors, whose sum is σ = 53783545907520. Its totient is φ = 7388160000000.

The previous prime is 20011209999961. The next prime is 20011210000039. The reversal of 20011210000000 is 1211002.

It is an interprime number because it is at equal distance from previous prime (20011209999961) and next prime (20011210000039).

It can be written as a sum of positive squares in 32 ways, for example, as 19602295792704 + 408914207296 = 4427448^2 + 639464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9009998890 + ... + 9010001110.

Almost surely, 2^{20011210000000} is an apocalyptic number.

20011210000000 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 20011210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26891772953760).

20011210000000 is an abundant number, since it is smaller than the sum of its proper divisors (33772335907520).

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

20011210000000 is an frugal number, since it uses more digits than its factorization.

20011210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20011210000000 its reverse (1211002), we get a palindrome (20011211211002).

The spelling of 20011210000000 in words is "twenty trillion, eleven billion, two hundred ten million", and thus it is an aban number.