12328702162560 has 768 divisors, whose sum is σ = 50479788902400. Its totient is φ = 2713188925440.

The previous prime is 12328702162547. The next prime is 12328702162639. The reversal of 12328702162560 is 6526120782321.

12328702162560 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 8 + 7 + 0 + 21 + 62 + 560 = 666.

It is a super-2 number, since 2×12328702162560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 246209206 + ... + 246259274.

It is an arithmetic number, because the mean of its divisors is an integer number (65728891800).

Almost surely, 2^{12328702162560} is an apocalyptic number.

12328702162560 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 12328702162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25239894451200).

12328702162560 is an abundant number, since it is smaller than the sum of its proper divisors (38151086739840).

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

12328702162560 is a wasteful number, since it uses less digits than its factorization.

12328702162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50329 (or 50314 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12328702162560 in words is "twelve trillion, three hundred twenty-eight billion, seven hundred two million, one hundred sixty-two thousand, five hundred sixty".