20120120200000 has 84 divisors (see below), whose sum is σ = 49904135829324. Its totient is φ = 8048048000000.

The previous prime is 20120120199997. The next prime is 20120120200039. The reversal of 20120120200000 is 202102102.

It can be written as a sum of positive squares in 6 ways, for example, as 18180740876544 + 1939379323456 = 4263888^2 + 1392616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 20120120200000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50100301 + ... + 50500300.

It is an arithmetic number, because the mean of its divisors is an integer number (594096855111).

Almost surely, 2^{20120120200000} is an apocalyptic number.

20120120200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120120200000 is an abundant number, since it is smaller than the sum of its proper divisors (29784015629324).

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

20120120200000 is an frugal number, since it uses more digits than its factorization.

20120120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100600638 (or 100600608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20120120200000 its reverse (202102102), we get a palindrome (20120322302102).

The spelling of 20120120200000 in words is "twenty trillion, one hundred twenty billion, one hundred twenty million, two hundred thousand".