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12132142304 = 252397169937
BaseRepresentation
bin10110100110010000…
…11100110011100000
31011022111202200111212
423103020130303200
5144321312023204
65323505525252
7606434336162
oct132310346340
934274680455
1012132142304
115166307097
122427043828
1311b4650439
148313b8932
154b0173c6e
hex2d321cce0

12132142304 has 48 divisors (see below), whose sum is σ = 25180733088. Its totient is φ = 5742477312.

The previous prime is 12132142303. The next prime is 12132142339. The reversal of 12132142304 is 40324123121.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 12132142304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132142303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13577 + ... + 156360.

It is an arithmetic number, because the mean of its divisors is an integer number (524598606).

Almost surely, 212132142304 is an apocalyptic number.

It is an amenable number.

12132142304 is an abundant number, since it is smaller than the sum of its proper divisors (13048590784).

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

12132142304 is a wasteful number, since it uses less digits than its factorization.

12132142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170067 (or 170059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12132142304 its reverse (40324123121), we get a palindrome (52456265425).

The spelling of 12132142304 in words is "twelve billion, one hundred thirty-two million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 368 388 736 776 1552 2231 3104 4462 8924 17848 35696 71392 169937 339874 679748 1359496 2718992 3908551 5437984 7817102 15634204 16483889 31268408 32967778 62536816 65935556 125073632 131871112 263742224 379129447 527484448 758258894 1516517788 3033035576 6066071152 12132142304