126812160 has 204 divisors, whose sum is σ = 449835672. Its totient is φ = 33030144.

The previous prime is 126812159. The next prime is 126812171. The reversal of 126812160 is 61218621.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949099 + ... + 2949141.

Almost surely, 2^126812160 is an apocalyptic number.

126812160 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 126812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224917836).

126812160 is an abundant number, since it is smaller than the sum of its proper divisors (323023512).

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

126812160 is an frugal number, since it uses more digits than its factorization.

126812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126812160 is about 11261.0905333365. The cubic root of 126812160 is about 502.4046303007.

It can be divided in two parts, 12681 and 2160, that added together give a palindrome (14841).

The spelling of 126812160 in words is "one hundred twenty-six million, eight hundred twelve thousand, one hundred sixty".