12077046438912 has 1188 divisors, whose sum is σ = 45560762714376. Its totient is φ = 3184611655680.

The previous prime is 12077046438901. The next prime is 12077046438923. The reversal of 12077046438912 is 21983464077021.

12077046438912 is a `hidden beast` number, since 1 + 20 + 7 + 70 + 464 + 3 + 8 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12077046438901) and next prime (12077046438923).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2060574862 + ... + 2060580722.

Almost surely, 2^{12077046438912} is an apocalyptic number.

12077046438912 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 12077046438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22780381357188).

12077046438912 is an abundant number, since it is smaller than the sum of its proper divisors (33483716275464).

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

12077046438912 is an equidigital number, since it uses as much as digits as its factorization.

12077046438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 12077046438912 in words is "twelve trillion, seventy-seven billion, forty-six million, four hundred thirty-eight thousand, nine hundred twelve".