12690187776 has 600 divisors, whose sum is σ = 45296606784. Its totient is φ = 3413975040.

The previous prime is 12690187771. The next prime is 12690187777. The reversal of 12690187776 is 67778109621.

It is a super-2 number, since 2×12690187776² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690187771) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 342978030 + ... + 342978066.

Almost surely, 2^12690187776 is an apocalyptic number.

12690187776 is a gapful number since it is divisible by the number (16) 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 12690187776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22648303392).

12690187776 is an abundant number, since it is smaller than the sum of its proper divisors (32606419008).

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

12690187776 is an frugal number, since it uses more digits than its factorization.

12690187776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 12690187776 in words is "twelve billion, six hundred ninety million, one hundred eighty-seven thousand, seven hundred seventy-six".