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12132100422 = 232131737139593
BaseRepresentation
bin10110100110010000…
…10010100101000110
31011022111200120001200
423103020102211012
5144321304203142
65323505003330
7606434103111
oct132310224506
934274616050
1012132100422
115166288682
122427023546
1311b4637360
148313a7578
154b016664c
hex2d3212946

12132100422 has 192 divisors, whose sum is σ = 31057266240. Its totient is φ = 3388096512.

The previous prime is 12132100417. The next prime is 12132100427. The reversal of 12132100422 is 22400123121.

It is a happy number.

12132100422 is a `hidden beast` number, since 12 + 132 + 100 + 422 = 666.

It is an interprime number because it is at equal distance from previous prime (12132100417) and next prime (12132100427).

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

It is a junction number, because it is equal to n+sod(n) for n = 12132100395 and 12132100404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132100427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20458558 + ... + 20459150.

It is an arithmetic number, because the mean of its divisors is an integer number (161756595).

Almost surely, 212132100422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132100422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528633120).

12132100422 is an abundant number, since it is smaller than the sum of its proper divisors (18925165818).

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

12132100422 is a wasteful number, since it uses less digits than its factorization.

12132100422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12132100422 its reverse (22400123121), we get a palindrome (34532223543).

The spelling of 12132100422 in words is "twelve billion, one hundred thirty-two million, one hundred thousand, four hundred twenty-two".