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12133202424 = 233733074801
BaseRepresentation
bin10110100110011000…
…11111100111111000
31011022120202112201120
423103030133213320
5144322044434144
65323544345240
7606446343000
oct132314374770
934276675646
1012133202424
115166970622
122427475220
1311b4931b25
148315b3000
154b02d2e19
hex2d331f9f8

12133202424 has 128 divisors (see below), whose sum is σ = 35496384000. Its totient is φ = 3454617600.

The previous prime is 12133202401. The next prime is 12133202453. The reversal of 12133202424 is 42420233121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12133202394 and 12133202403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2524824 + ... + 2529624.

It is an arithmetic number, because the mean of its divisors is an integer number (277315500).

Almost surely, 212133202424 is an apocalyptic number.

12133202424 is a gapful number since it is divisible by the number (14) 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 12133202424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748192000).

12133202424 is an abundant number, since it is smaller than the sum of its proper divisors (23363181576).

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

12133202424 is a wasteful number, since it uses less digits than its factorization.

12133202424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12133202424 its reverse (42420233121), we get a palindrome (54553435545).

The spelling of 12133202424 in words is "twelve billion, one hundred thirty-three million, two hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 307 343 392 588 614 686 921 1029 1176 1228 1372 1842 2058 2149 2456 2744 3684 4116 4298 4801 6447 7368 8232 8596 9602 12894 14403 15043 17192 19204 25788 28806 30086 33607 38408 45129 51576 57612 60172 67214 90258 100821 105301 115224 120344 134428 180516 201642 210602 235249 268856 315903 361032 403284 421204 470498 631806 705747 806568 842408 940996 1263612 1411494 1473907 1646743 1881992 2527224 2822988 2947814 3293486 4421721 4940229 5645976 5895628 6586972 8843442 9880458 10317349 11791256 13173944 17686884 19760916 20634698 30952047 35373768 39521832 41269396 61904094 72221443 82538792 123808188 144442886 216664329 247616376 288885772 433328658 505550101 577771544 866657316 1011100202 1516650303 1733314632 2022200404 3033300606 4044400808 6066601212 12133202424