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12212211120 = 2435173780897
BaseRepresentation
bin10110101111110011…
…11000110110110000
31011112002102121021120
423113321320312300
5200002311223440
65335450022240
7611426040024
oct132771706660
934462377246
1012212211120
1151a7524a6a
122449a17980
1311c8105c35
1483bc9c384
154b71dcdd0
hex2d7e78db0

12212211120 has 160 divisors (see below), whose sum is σ = 41168668608. Its totient is φ = 2982150144.

The previous prime is 12212211101. The next prime is 12212211127. The reversal of 12212211120 is 2111221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212211120.

It is not an unprimeable number, because it can be changed into a prime (12212211127) 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, 110512 + ... + 191408.

Almost surely, 212212211120 is an apocalyptic number.

12212211120 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 12212211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20584334304).

12212211120 is an abundant number, since it is smaller than the sum of its proper divisors (28956457488).

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

12212211120 is a wasteful number, since it uses less digits than its factorization.

12212211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80967 (or 80961 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12212211120 its reverse (2111221221), we get a palindrome (14323432341).

The spelling of 12212211120 in words is "twelve billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 510 555 592 629 680 740 816 888 1020 1110 1258 1360 1480 1776 1887 2040 2220 2516 2960 3145 3774 4080 4440 5032 6290 7548 8880 9435 10064 12580 15096 18870 25160 30192 37740 50320 75480 80897 150960 161794 242691 323588 404485 485382 647176 808970 970764 1213455 1294352 1375249 1617940 1941528 2426910 2750498 2993189 3235880 3883056 4125747 4853820 5500996 5986378 6471760 6876245 8251494 8979567 9707640 11001992 11972756 13752490 14965945 16502988 17959134 19415280 20628735 22003984 23945512 27504980 29931890 33005976 35918268 41257470 44897835 47891024 50884213 55009960 59863780 66011952 71836536 82514940 89795670 101768426 110019920 119727560 143673072 152652639 165029880 179591340 203536852 239455120 254421065 305305278 330059760 359182680 407073704 508842130 610610556 718365360 763263195 814147408 1017684260 1221221112 1526526390 2035368520 2442442224 3053052780 4070737040 6106105560 12212211120