20121112120200 has 1536 divisors, whose sum is σ = 83618328084480. Its totient is φ = 3881779200000.

The previous prime is 20121112120169. The next prime is 20121112120229. The reversal of 20121112120200 is 202121112102.

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 20121112120200.

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 383 ways as a sum of consecutive naturals, for example, 10313229225 + ... + 10313231175.

It is an arithmetic number, because the mean of its divisors is an integer number (54439015680).

Almost surely, 2^{20121112120200} is an apocalyptic number.

20121112120200 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 20121112120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41809164042240).

20121112120200 is an abundant number, since it is smaller than the sum of its proper divisors (63497215964280).

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

20121112120200 is a wasteful number, since it uses less digits than its factorization.

20121112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

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

Adding to 20121112120200 its reverse (202121112102), we get a palindrome (20323233232302).

The spelling of 20121112120200 in words is "twenty trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, two hundred".