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102122001212 = 2271111323912277
BaseRepresentation
bin101111100011011110…
…0100001001100111100
3100202121001120011200012
41133012330201030330
53133121213014322
6114525244522352
710243451454650
oct1370674411474
9322531504605
10102122001212
113a345231010
12179605503b8
13982633186a
144d2abd6a60
1529ca69aae2
hex17c6f2133c

102122001212 has 96 divisors (see below), whose sum is σ = 225742325760. Its totient is φ = 39267486720.

The previous prime is 102122001209. The next prime is 102122001229. The reversal of 102122001212 is 212100221201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 8312018 + ... + 8324294.

It is an arithmetic number, because the mean of its divisors is an integer number (2351482560).

Almost surely, 2102122001212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112871162880).

102122001212 is an abundant number, since it is smaller than the sum of its proper divisors (123620324548).

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

102122001212 is a wasteful number, since it uses less digits than its factorization.

102122001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12651 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102122001212 its reverse (212100221201), we get a palindrome (314222222413).

The spelling of 102122001212 in words is "one hundred two billion, one hundred twenty-two million, one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 113 154 226 239 308 452 478 791 956 1243 1582 1673 2486 2629 3164 3346 4972 5258 6692 8701 10516 12277 17402 18403 24554 27007 34804 36806 49108 54014 73612 85939 108028 135047 171878 189049 270094 297077 343756 378098 540188 594154 756196 945329 1188308 1387301 1890658 2079539 2774602 2934203 3781316 4159078 5549204 5868406 8318156 9711107 11736812 15260311 19422214 20539421 30520622 32276233 38844428 41078842 61041244 64552466 82157684 106822177 129104932 213644354 225933631 331564939 427288708 451867262 663129878 903734524 1326259756 2320954573 3647214329 4641909146 7294428658 9283818292 14588857316 25530500303 51061000606 102122001212