12162738334110 has 256 divisors, whose sum is σ = 36399012249600. Its totient is φ = 2532509950464.

The previous prime is 12162738334079. The next prime is 12162738334139. The reversal of 12162738334110 is 1143383726121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 493224961 + ... + 493249619.

It is an arithmetic number, because the mean of its divisors is an integer number (142183641600).

Almost surely, 2^{12162738334110} is an apocalyptic number.

12162738334110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162738334110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199506124800).

12162738334110 is an abundant number, since it is smaller than the sum of its proper divisors (24236273915490).

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

12162738334110 is a wasteful number, since it uses less digits than its factorization.

12162738334110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27055.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12162738334110 in words is "twelve trillion, one hundred sixty-two billion, seven hundred thirty-eight million, three hundred thirty-four thousand, one hundred ten".