12006869154960 has 240 divisors, whose sum is σ = 41594210228736. Its totient is φ = 2854883708928.

The previous prime is 12006869154937. The next prime is 12006869154967. The reversal of 12006869154960 is 6945196860021.

12006869154960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 12006869154960.

It is not an unprimeable number, because it can be changed into a prime (12006869154967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603104 + ... + 5548863.

Almost surely, 2^{12006869154960} is an apocalyptic number.

12006869154960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006869154960 is an abundant number, since it is smaller than the sum of its proper divisors (29587341073776).

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

12006869154960 is a wasteful number, since it uses less digits than its factorization.

12006869154960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8152038 (or 8152013 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 12006869154960 in words is "twelve trillion, six billion, eight hundred sixty-nine million, one hundred fifty-four thousand, nine hundred sixty".