12011453342460 has 288 divisors, whose sum is σ = 42866461048320. Its totient is φ = 2683983859200.

The previous prime is 12011453342453. The next prime is 12011453342491. The reversal of 12011453342460 is 6424335411021.

12011453342460 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 145 + 33 + 424 + 60 = 666.

It is a super-2 number, since 2×12011453342460² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17448681 + ... + 18123999.

It is an arithmetic number, because the mean of its divisors is an integer number (148841878640).

Almost surely, 2^{12011453342460} is an apocalyptic number.

12011453342460 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 12011453342460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21433230524160).

12011453342460 is an abundant number, since it is smaller than the sum of its proper divisors (30855007705860).

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

12011453342460 is a wasteful number, since it uses less digits than its factorization.

12011453342460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676049 (or 676044 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12011453342460 its reverse (6424335411021), we get a palindrome (18435788753481).

It can be divided in two parts, 1201145 and 3342460, that added together give a triangular number (4543605 = T₃₀₁₄).

The spelling of 12011453342460 in words is "twelve trillion, eleven billion, four hundred fifty-three million, three hundred forty-two thousand, four hundred sixty".