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12241112240 = 2457832231181
BaseRepresentation
bin10110110011010000…
…01000110010110000
31011121002210221011102
423121220020302300
5200032211042430
65342401303532
7612226510610
oct133150106260
934532727142
1012241112240
115211874895
122457634ba8
1312010b49a6
14841a62a40
154b99eb345
hex2d9a08cb0

12241112240 has 160 divisors (see below), whose sum is σ = 33093881856. Its totient is φ = 4124298240.

The previous prime is 12241112209. The next prime is 12241112249. The reversal of 12241112240 is 4221114221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12241112249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10364450 + ... + 10365630.

Almost surely, 212241112240 is an apocalyptic number.

12241112240 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 12241112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546940928).

12241112240 is an abundant number, since it is smaller than the sum of its proper divisors (20852769616).

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

12241112240 is a wasteful number, since it uses less digits than its factorization.

12241112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12241112240 its reverse (4221114221), we get a palindrome (16462226461).

The spelling of 12241112240 in words is "twelve billion, two hundred forty-one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 223 280 332 415 446 560 581 664 830 892 1115 1162 1181 1328 1561 1660 1784 2230 2324 2362 2905 3122 3320 3568 4460 4648 4724 5810 5905 6244 6640 7805 8267 8920 9296 9448 11620 11810 12488 15610 16534 17840 18509 18896 23240 23620 24976 31220 33068 37018 41335 46480 47240 62440 66136 74036 82670 92545 94480 98023 124880 129563 132272 148072 165340 185090 196046 259126 263363 296144 330680 370180 392092 490115 518252 526726 647815 661360 686161 740360 784184 980230 1036504 1053452 1295630 1316815 1372322 1480720 1568368 1843541 1960460 2073008 2106904 2591260 2633630 2744644 3430805 3687082 3920920 4213808 5182520 5267260 5489288 6861610 7374164 7841840 9217705 10365040 10534520 10978576 13723220 14748328 18435410 21069040 21859129 27446440 29496656 36870820 43718258 54892880 73741640 87436516 109295645 147483280 153013903 174873032 218591290 306027806 349746064 437182580 612055612 765069515 874365160 1224111224 1530139030 1748730320 2448222448 3060278060 6120556120 12241112240