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12132340110 = 23351131313421
BaseRepresentation
bin10110100110010010…
…01101000110001110
31011022112010201212000
423103021031012032
5144321334340420
65323514053130
7606436121652
oct132311150616
934275121760
1012132340110
115166431770
12242711a1a6
1311b46bc497
1483142aa62
154b01b2690
hex2d324d18e

12132340110 has 256 divisors, whose sum is σ = 36635811840. Its totient is φ = 2830464000.

The previous prime is 12132340091. The next prime is 12132340117. The reversal of 12132340110 is 1104323121.

12132340110 is a `hidden beast` number, since 1 + 213 + 2 + 340 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132340117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28817700 + ... + 28818120.

It is an arithmetic number, because the mean of its divisors is an integer number (143108640).

Almost surely, 212132340110 is an apocalyptic number.

12132340110 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 12132340110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18317905920).

12132340110 is an abundant number, since it is smaller than the sum of its proper divisors (24503471730).

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

12132340110 is a wasteful number, since it uses less digits than its factorization.

12132340110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12132340110 its reverse (1104323121), we get a palindrome (13236663231).

The spelling of 12132340110 in words is "twelve billion, one hundred thirty-two million, three hundred forty thousand, one hundred ten".