12114097504608 has 48 divisors (see below), whose sum is σ = 34690370129856. Its totient is φ = 3670938637440.

The previous prime is 12114097504549. The next prime is 12114097504609. The reversal of 12114097504608 is 80640579041121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×12114097504608³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114097504609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5735840566 + ... + 5735842677.

It is an arithmetic number, because the mean of its divisors is an integer number (722716044372).

Almost surely, 2^{12114097504608} is an apocalyptic number.

It is an amenable number.

12114097504608 is an abundant number, since it is smaller than the sum of its proper divisors (22576272625248).

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

12114097504608 is a wasteful number, since it uses less digits than its factorization.

12114097504608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471683267 (or 11471683259 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 12114097504608 in words is "twelve trillion, one hundred fourteen billion, ninety-seven million, five hundred four thousand, six hundred eight".