12064227840 has 960 divisors, whose sum is σ = 52293795840. Its totient is φ = 2508226560.

The previous prime is 12064227839. The next prime is 12064227841. The reversal of 12064227840 is 4872246021.

12064227840 is a `hidden beast` number, since 1 + 2 + 0 + 642 + 2 + 7 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12064227839) and next prime (12064227841).

It is a tau number, because it is divible by the number of its divisors (960).

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 = 12064227795 and 12064227804.

It is not an unprimeable number, because it can be changed into a prime (12064227841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94993857 + ... + 94993983.

It is an arithmetic number, because the mean of its divisors is an integer number (54472704).

Almost surely, 2^12064227840 is an apocalyptic number.

12064227840 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 12064227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26146897920).

12064227840 is an abundant number, since it is smaller than the sum of its proper divisors (40229568000).

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

12064227840 is a wasteful number, since it uses less digits than its factorization.

12064227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12064227840 in words is "twelve billion, sixty-four million, two hundred twenty-seven thousand, eight hundred forty".