20120011200 has 252 divisors, whose sum is σ = 74161269000. Its totient is φ = 5365232640.

The previous prime is 20120011147. The next prime is 20120011229. The reversal of 20120011200 is 211002102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362926 + ... + 414674.

It is an arithmetic number, because the mean of its divisors is an integer number (294290750).

Almost surely, 2^20120011200 is an apocalyptic number.

20120011200 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 20120011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37080634500).

20120011200 is an abundant number, since it is smaller than the sum of its proper divisors (54041257800).

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

20120011200 is an equidigital number, since it uses as much as digits as its factorization.

20120011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51786 (or 51759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20120011200 its reverse (211002102), we get a palindrome (20331013302).

The spelling of 20120011200 in words is "twenty billion, one hundred twenty million, eleven thousand, two hundred".