12120210001000 has 32 divisors (see below), whose sum is σ = 28361291404680. Its totient is φ = 4848084000000.

The previous prime is 12120210000919. The next prime is 12120210001001. The reversal of 12120210001000 is 10001202121.

It can be written as a sum of positive squares in 4 ways, for example, as 4963975088004 + 7156234912996 = 2227998^2 + 2675114^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12120210001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6060104001 + ... + 6060106000.

Almost surely, 2^{12120210001000} is an apocalyptic number.

12120210001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120210001000 is an abundant number, since it is smaller than the sum of its proper divisors (16241081403680).

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

12120210001000 is a wasteful number, since it uses less digits than its factorization.

12120210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120210022 (or 12120210008 counting only the distinct ones).

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

Adding to 12120210001000 its reverse (10001202121), we get a palindrome (12130211203121).

The spelling of 12120210001000 in words is "twelve trillion, one hundred twenty billion, two hundred ten million, one thousand".