12014501772672 has 1536 divisors, whose sum is σ = 43714731110400. Its totient is φ = 3234776186880.

The previous prime is 12014501772653. The next prime is 12014501772761. The reversal of 12014501772672 is 27627710541021.

It is a happy number.

12014501772672 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 501 + 7 + 72 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41005125358 + ... + 41005125650.

It is an arithmetic number, because the mean of its divisors is an integer number (28460111400).

Almost surely, 2^{12014501772672} is an apocalyptic number.

12014501772672 is a gapful number since it is divisible by the number (12) 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 12014501772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21857365555200).

12014501772672 is an abundant number, since it is smaller than the sum of its proper divisors (31700229337728).

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

12014501772672 is a wasteful number, since it uses less digits than its factorization.

12014501772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 12014501772672 in words is "twelve trillion, fourteen billion, five hundred one million, seven hundred seventy-two thousand, six hundred seventy-two".