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12132124224 = 263115744377
BaseRepresentation
bin10110100110010000…
…11000011001000000
31011022111201202201020
423103020120121000
5144321310433344
65323505305440
7606434232363
oct132310303100
934274652636
1012132124224
1151662a4550
122427035280
1311b464513c
148313b20da
154b016d719
hex2d3218640

12132124224 has 56 divisors (see below), whose sum is σ = 35017728288. Its totient is φ = 3676400640.

The previous prime is 12132124201. The next prime is 12132124231. The reversal of 12132124224 is 42242123121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12132124194 and 12132124203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2870077 + ... + 2874300.

Almost surely, 212132124224 is an apocalyptic number.

It is an amenable number.

12132124224 is an abundant number, since it is smaller than the sum of its proper divisors (22885604064).

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

12132124224 is a wasteful number, since it uses less digits than its factorization.

12132124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744403 (or 5744393 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

Adding to 12132124224 its reverse (42242123121), we get a palindrome (54374247345).

The spelling of 12132124224 in words is "twelve billion, one hundred thirty-two million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 5744377 11488754 17233131 22977508 34466262 45955016 63188147 68932524 91910032 126376294 137865048 183820064 189564441 252752588 275730096 367640128 379128882 505505176 551460192 758257764 1011010352 1102920384 1516515528 2022020704 3033031056 4044041408 6066062112 12132124224