20121200110000 has 300 divisors, whose sum is σ = 54454485393000. Its totient is φ = 7192760960000.

The previous prime is 20121200109977. The next prime is 20121200110003. The reversal of 20121200110000 is 1100212102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20121200110003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 71249076 + ... + 71530924.

It is an arithmetic number, because the mean of its divisors is an integer number (181514951310).

Almost surely, 2^{20121200110000} is an apocalyptic number.

20121200110000 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 20121200110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27227242696500).

20121200110000 is an abundant number, since it is smaller than the sum of its proper divisors (34333285283000).

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

20121200110000 is a wasteful number, since it uses less digits than its factorization.

20121200110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281958 (or 281926 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20121200110000 its reverse (1100212102), we get a palindrome (20122300322102).

The spelling of 20121200110000 in words is "twenty trillion, one hundred twenty-one billion, two hundred million, one hundred ten thousand".