12120011002000 has 320 divisors, whose sum is σ = 32140692649728. Its totient is φ = 4383859200000.

The previous prime is 12120011001991. The next prime is 12120011002039. The reversal of 12120011002000 is 20011002121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4364424612 + ... + 4364427388.

Almost surely, 2^{12120011002000} is an apocalyptic number.

12120011002000 is a gapful number since it is divisible by the number (10) 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 12120011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070346324864).

12120011002000 is an abundant number, since it is smaller than the sum of its proper divisors (20020681647728).

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

12120011002000 is a wasteful number, since it uses less digits than its factorization.

12120011002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3779 counting only the distinct ones).

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

Adding to 12120011002000 its reverse (20011002121), we get a palindrome (12140022004121).

The spelling of 12120011002000 in words is "twelve trillion, one hundred twenty billion, eleven million, two thousand".