12011012101000 has 128 divisors (see below), whose sum is σ = 30881423664000. Its totient is φ = 4336218336000.

The previous prime is 12011012100949. The next prime is 12011012101009. The reversal of 12011012101000 is 10121011021.

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 (12011012101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2398735 + ... + 5456734.

It is an arithmetic number, because the mean of its divisors is an integer number (241261122375).

Almost surely, 2^{12011012101000} is an apocalyptic number.

12011012101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011012101000 is an abundant number, since it is smaller than the sum of its proper divisors (18870411563000).

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

12011012101000 is a wasteful number, since it uses less digits than its factorization.

12011012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855640 (or 7855626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011012101000 its reverse (10121011021), we get a palindrome (12021133112021).

The spelling of 12011012101000 in words is "twelve trillion, eleven billion, twelve million, one hundred one thousand".