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12132300000 = 25355371093
BaseRepresentation
bin10110100110010010…
…00011010011100000
31011022112001200211110
423103021003103200
5144321332100000
65323513143320
7606435564012
oct132311032340
934275050743
1012132300000
115166404617
1224270bab40
1311b46a7152
1483141a1b2
154b01a5850
hex2d32434e0

12132300000 has 288 divisors, whose sum is σ = 40919818464. Its totient is φ = 3144960000.

The previous prime is 12132299999. The next prime is 12132300023. The reversal of 12132300000 is 323121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11099454 + ... + 11100546.

It is an arithmetic number, because the mean of its divisors is an integer number (142082703).

Almost surely, 212132300000 is an apocalyptic number.

12132300000 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 12132300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459909232).

12132300000 is an abundant number, since it is smaller than the sum of its proper divisors (28787518464).

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

12132300000 is an equidigital number, since it uses as much as digits as its factorization.

12132300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12132300000 its reverse (323121), we get a palindrome (12132623121).

The spelling of 12132300000 in words is "twelve billion, one hundred thirty-two million, three hundred thousand".