12134465640 has 288 divisors, whose sum is σ = 44277891840. Its totient is φ = 2878613760.

The previous prime is 12134465617. The next prime is 12134465671. The reversal of 12134465640 is 4656443121.

12134465640 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 4 + 6 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12134465595 and 12134465604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2044357 + ... + 2050283.

It is an arithmetic number, because the mean of its divisors is an integer number (153742680).

Almost surely, 2^12134465640 is an apocalyptic number.

12134465640 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 12134465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138945920).

12134465640 is an abundant number, since it is smaller than the sum of its proper divisors (32143426200).

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

12134465640 is a wasteful number, since it uses less digits than its factorization.

12134465640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 5995 counting only the distinct ones).

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

It can be divided in two parts, 12134 and 465640, that added together give a palindrome (477774).

The spelling of 12134465640 in words is "twelve billion, one hundred thirty-four million, four hundred sixty-five thousand, six hundred forty".