12167447040 has 480 divisors, whose sum is σ = 49485047040. Its totient is φ = 2704637952.

The previous prime is 12167447023. The next prime is 12167447057. The reversal of 12167447040 is 4074476121.

It is a happy number.

12167447040 is a `hidden beast` number, since 12 + 167 + 447 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12167447023) and next prime (12167447057).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 12167446986 and 12167447004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5966341 + ... + 5968379.

It is an arithmetic number, because the mean of its divisors is an integer number (103093848).

Almost surely, 2^12167447040 is an apocalyptic number.

12167447040 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 12167447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24742523520).

12167447040 is an abundant number, since it is smaller than the sum of its proper divisors (37317600000).

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

12167447040 is a wasteful number, since it uses less digits than its factorization.

12167447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12167447040 in words is "twelve billion, one hundred sixty-seven million, four hundred forty-seven thousand, forty".