2012120200000 has 84 divisors (see below), whose sum is σ = 4990682349324. Its totient is φ = 804848000000.

The previous prime is 2012120199967. The next prime is 2012120200033. The reversal of 2012120200000 is 20212102.

It is an interprime number because it is at equal distance from previous prime (2012120199967) and next prime (2012120200033).

It can be written as a sum of positive squares in 6 ways, for example, as 1170585508096 + 841534691904 = 1081936^2 + 917352^2 .

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 2012120200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4830301 + ... + 5230300.

It is an arithmetic number, because the mean of its divisors is an integer number (59412885111).

Almost surely, 2^{2012120200000} is an apocalyptic number.

2012120200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012120200000 is an abundant number, since it is smaller than the sum of its proper divisors (2978562149324).

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

2012120200000 is an frugal number, since it uses more digits than its factorization.

2012120200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060638 (or 10060608 counting only the distinct ones).

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

Adding to 2012120200000 its reverse (20212102), we get a palindrome (2012140412102).

The spelling of 2012120200000 in words is "two trillion, twelve billion, one hundred twenty million, two hundred thousand".