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12201012200 = 23521317276041
BaseRepresentation
bin10110101110011110…
…01010101111101000
31011111022100122020202
423113033022233220
5144441424342300
65334410011332
7611231615066
oct132717125750
934438318222
1012201012200
1151a1176063
122446116b48
1311c59b4760
1483a5c5036
154b6229ad5
hex2d73cabe8

12201012200 has 96 divisors (see below), whose sum is σ = 32346601560. Its totient is φ = 4239974400.

The previous prime is 12201012199. The next prime is 12201012221. The reversal of 12201012200 is 221010221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1821070276 + 10379941924 = 42674^2 + 101882^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93821 + ... + 182220.

Almost surely, 212201012200 is an apocalyptic number.

12201012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201012200 is an abundant number, since it is smaller than the sum of its proper divisors (20145589360).

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

12201012200 is a wasteful number, since it uses less digits than its factorization.

12201012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276087 (or 276078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12201012200 its reverse (221010221), we get a palindrome (12422022421).

The spelling of 12201012200 in words is "twelve billion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 276041 552082 1104164 1380205 2208328 2760410 3588533 4692697 5520820 6901025 7177066 9385394 11041640 13802050 14354132 17942665 18770788 23463485 27604100 28708264 35885330 37541576 46926970 55208200 61005061 71770660 89713325 93853940 117317425 122010122 143541320 179426650 187707880 234634850 244020244 305025305 358853300 469269700 488040488 610050610 717706600 938539400 1220101220 1525126525 2440202440 3050253050 6100506100 12201012200