12077021861760 has 256 divisors, whose sum is σ = 38619463176000. Its totient is φ = 3210183966720.

The previous prime is 12077021861741. The next prime is 12077021861809. The reversal of 12077021861760 is 6716812077021.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920428000 + ... + 920441120.

Almost surely, 2^{12077021861760} is an apocalyptic number.

12077021861760 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 12077021861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19309731588000).

12077021861760 is an abundant number, since it is smaller than the sum of its proper divisors (26542441314240).

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

12077021861760 is a wasteful number, since it uses less digits than its factorization.

12077021861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14649 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 12077021861760 in words is "twelve trillion, seventy-seven billion, twenty-one million, eight hundred sixty-one thousand, seven hundred sixty".