12120210100000 has 72 divisors (see below), whose sum is σ = 29825170855956. Its totient is φ = 4848084000000.

The previous prime is 12120210099979. The next prime is 12120210100007. The reversal of 12120210100000 is 101202121.

It can be written as a sum of positive squares in 6 ways, for example, as 658220670864 + 11461989429136 = 811308^2 + 3385556^2 .

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 12120210100000.

It is not an unprimeable number, because it can be changed into a prime (12120210100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60501051 + ... + 60701050.

Almost surely, 2^{12120210100000} is an apocalyptic number.

12120210100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120210100000 is an abundant number, since it is smaller than the sum of its proper divisors (17704960755956).

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

12120210100000 is an frugal number, since it uses more digits than its factorization.

12120210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121202136 (or 121202108 counting only the distinct ones).

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

Adding to 12120210100000 its reverse (101202121), we get a palindrome (12120311302121).

The spelling of 12120210100000 in words is "twelve trillion, one hundred twenty billion, two hundred ten million, one hundred thousand".