20112120211200 has 216 divisors, whose sum is σ = 66880868267136. Its totient is φ = 5322290688000.

The previous prime is 20112120211193. The next prime is 20112120211237. The reversal of 20112120211200 is 211202121102.

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 20112120211200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482916 + ... + 6513315.

Almost surely, 2^{20112120211200} is an apocalyptic number.

20112120211200 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 20112120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33440434133568).

20112120211200 is an abundant number, since it is smaller than the sum of its proper divisors (46768748055936).

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

20112120211200 is a wasteful number, since it uses less digits than its factorization.

20112120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996391 (or 7996372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20112120211200 its reverse (211202121102), we get a palindrome (20323322332302).

The spelling of 20112120211200 in words is "twenty trillion, one hundred twelve billion, one hundred twenty million, two hundred eleven thousand, two hundred".