12651128149248 has 144 divisors (see below), whose sum is σ = 37413446313600. Its totient is φ = 4216835911680.

The previous prime is 12651128149223. The next prime is 12651128149327. The reversal of 12651128149248 is 84294182115621.

12651128149248 is a `hidden beast` number, since 1 + 2 + 6 + 511 + 2 + 81 + 4 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12651128149194 and 12651128149203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216447708 + ... + 216506148.

It is an arithmetic number, because the mean of its divisors is an integer number (259815599400).

Almost surely, 2^{12651128149248} is an apocalyptic number.

12651128149248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12651128149248 is an abundant number, since it is smaller than the sum of its proper divisors (24762318164352).

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

12651128149248 is an equidigital number, since it uses as much as digits as its factorization.

12651128149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89785 (or 89765 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 12651128149248 in words is "twelve trillion, six hundred fifty-one billion, one hundred twenty-eight million, one hundred forty-nine thousand, two hundred forty-eight".