12077705114000 has 80 divisors (see below), whose sum is σ = 30921766991856. Its totient is φ = 4546900736000.

The previous prime is 12077705113913. The next prime is 12077705114023. The reversal of 12077705114000 is 41150777021.

It can be written as a sum of positive squares in 8 ways, for example, as 140763033856 + 11936942080144 = 375184^2 + 3454988^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177579311 + ... + 177647310.

Almost surely, 2^{12077705114000} is an apocalyptic number.

12077705114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12077705114000 is an abundant number, since it is smaller than the sum of its proper divisors (18844061877856).

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

12077705114000 is a wasteful number, since it uses less digits than its factorization.

12077705114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355226661 (or 355226645 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 35.

The spelling of 12077705114000 in words is "twelve trillion, seventy-seven billion, seven hundred five million, one hundred fourteen thousand".