12061641312 has 288 divisors, whose sum is σ = 41237973504. Its totient is φ = 3396556800.

The previous prime is 12061641283. The next prime is 12061641323. The reversal of 12061641312 is 21314616021.

It is a happy number.

12061641312 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 1 + 641 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12061641312² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 3863112 + ... + 3866232.

It is an arithmetic number, because the mean of its divisors is an integer number (143187408).

Almost surely, 2^12061641312 is an apocalyptic number.

12061641312 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 12061641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20618986752).

12061641312 is an abundant number, since it is smaller than the sum of its proper divisors (29176332192).

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

12061641312 is an equidigital number, since it uses as much as digits as its factorization.

12061641312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12061641312 in words is "twelve billion, sixty-one million, six hundred forty-one thousand, three hundred twelve".