2012200102120 has 192 divisors, whose sum is σ = 5014773609840. Its totient is φ = 726108364800.

The previous prime is 2012200102049. The next prime is 2012200102163. The reversal of 2012200102120 is 212010022102.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1376994290116 + 635205812004 = 1173454^2 + 796998^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2012200102120.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64724980 + ... + 64756060.

Almost surely, 2^{2012200102120} is an apocalyptic number.

2012200102120 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 2012200102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507386804920).

2012200102120 is an abundant number, since it is smaller than the sum of its proper divisors (3002573507720).

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

2012200102120 is a wasteful number, since it uses less digits than its factorization.

2012200102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31336 (or 31319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2012200102120 its reverse (212010022102), we get a palindrome (2224210124222).

The spelling of 2012200102120 in words is "two trillion, twelve billion, two hundred million, one hundred two thousand, one hundred twenty".