12001011132000 has 768 divisors, whose sum is σ = 43332094181376. Its totient is φ = 2879435520000.

The previous prime is 12001011131999. The next prime is 12001011132023. The reversal of 12001011132000 is 23111010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9043715337 + ... + 9043716663.

It is an arithmetic number, because the mean of its divisors is an integer number (56421997632).

Almost surely, 2^{12001011132000} is an apocalyptic number.

12001011132000 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 12001011132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21666047090688).

12001011132000 is an abundant number, since it is smaller than the sum of its proper divisors (31331083049376).

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

12001011132000 is a wasteful number, since it uses less digits than its factorization.

12001011132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12001011132000 its reverse (23111010021), we get a palindrome (12024122142021).

The spelling of 12001011132000 in words is "twelve trillion, one billion, eleven million, one hundred thirty-two thousand".