Search a number
-
+
1211002212168 = 233371137087853
BaseRepresentation
bin10001100111110101010…
…110110100111101001000
311021202210211022101202000
4101213311112310331020
5124320113031242133
62324154324111000
7153330522651240
oct21476526647510
94252724271660
101211002212168
114276461a5a21
1217684a235460
138a273b08218
1442881812b20
152177aa65413
hex119f55b4f48

1211002212168 has 128 divisors (see below), whose sum is σ = 3878473708800. Its totient is φ = 342938631168.

The previous prime is 1211002212163. The next prime is 1211002212169. The reversal of 1211002212168 is 8612122001121.

1211002212168 is a `hidden beast` number, since 121 + 100 + 221 + 216 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1211002212163) 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, 3373071 + ... + 3714782.

It is an arithmetic number, because the mean of its divisors is an integer number (30300575850).

Almost surely, 21211002212168 is an apocalyptic number.

1211002212168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1211002212168 is an abundant number, since it is smaller than the sum of its proper divisors (2667471496632).

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

1211002212168 is a wasteful number, since it uses less digits than its factorization.

1211002212168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087988 (or 7087978 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 1211002212168 its reverse (8612122001121), we get a palindrome (9823124213289).

The spelling of 1211002212168 in words is "one trillion, two hundred eleven billion, two million, two hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 168 189 216 226 252 339 378 452 504 678 756 791 904 1017 1356 1512 1582 2034 2373 2712 3051 3164 4068 4746 6102 6328 7119 8136 9492 12204 14238 18984 21357 24408 28476 42714 56952 85428 170856 7087853 14175706 21263559 28351412 42527118 49614971 56702824 63790677 85054236 99229942 127581354 148844913 170108472 191372031 198459884 255162708 297689826 382744062 396919768 446534739 510325416 595379652 765488124 800927389 893069478 1190759304 1339604217 1530976248 1601854778 1786138956 2402782167 2679208434 3203709556 3572277912 4805564334 5358416868 5606491723 6407419112 7208346501 9611128668 10716833736 11212983446 14416693002 16819475169 19222257336 21625039503 22425966892 28833386004 33638950338 43250079006 44851933784 50458425507 57666772008 67277900676 86500158012 100916851014 134555801352 151375276521 173000316024 201833702028 302750553042 403667404056 605501106084 1211002212168