14120386560000 has 2200 divisors, whose sum is σ = 63418532448480. Its totient is φ = 3057647616000.

The previous prime is 14120386559957. The next prime is 14120386560047. The reversal of 14120386560000 is 6568302141.

It is a happy number.

14120386560000 is a `hidden beast` number, since 1 + 4 + 12 + 0 + 3 + 86 + 560 + 0 + 0 + 0 = 666.

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

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 99 ways as a sum of consecutive naturals, for example, 743178239991 + ... + 743178240009.

Almost surely, 2^{14120386560000} is an apocalyptic number.

14120386560000 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 14120386560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31709266224240).

14120386560000 is an abundant number, since it is smaller than the sum of its proper divisors (49298145888480).

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

14120386560000 is an frugal number, since it uses more digits than its factorization.

14120386560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14120386560000 in words is "fourteen trillion, one hundred twenty billion, three hundred eighty-six million, five hundred sixty thousand".