12010011012120 has 512 divisors, whose sum is σ = 40546882022400. Its totient is φ = 2821238784000.

The previous prime is 12010011012007. The next prime is 12010011012143. The reversal of 12010011012120 is 2121011001021.

It is a super-2 number, since 2×12010011012120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12010011012096 and 12010011012105.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1832746764 + ... + 1832753316.

It is an arithmetic number, because the mean of its divisors is an integer number (79193128950).

Almost surely, 2^{12010011012120} is an apocalyptic number.

12010011012120 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 12010011012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273441011200).

12010011012120 is an abundant number, since it is smaller than the sum of its proper divisors (28536871010280).

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

12010011012120 is a wasteful number, since it uses less digits than its factorization.

12010011012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6967 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12010011012120 its reverse (2121011001021), we get a palindrome (14131022013141).

The spelling of 12010011012120 in words is "twelve trillion, ten billion, eleven million, twelve thousand, one hundred twenty".