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1211310313212 = 2231743379364349
BaseRepresentation
bin10001101000000111101…
…110001000111011111100
311021210121022001112220210
4101220013232020323330
5124321230420010322
62324245051512420
7153341253531066
oct21500756107374
94253538045823
101211310313212
1142779410288a
12176915458710
138a2c28b142c
14428b06d4736
1521797b2470c
hex11a07b88efc

1211310313212 has 96 divisors (see below), whose sum is σ = 3070333728000. Its totient is φ = 370200886272.

The previous prime is 1211310313189. The next prime is 1211310313217. The reversal of 1211310313212 is 2123130131121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211310313217) 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, 3142414 + ... + 3506762.

It is an arithmetic number, because the mean of its divisors is an integer number (31982643000).

Almost surely, 21211310313212 is an apocalyptic number.

1211310313212 is a gapful number since it is divisible by the number (12) 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 1211310313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535166864000).

1211310313212 is an abundant number, since it is smaller than the sum of its proper divisors (1859023414788).

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

1211310313212 is a wasteful number, since it uses less digits than its factorization.

1211310313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364795 (or 364793 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1211310313212 its reverse (2123130131121), we get a palindrome (3334440444333).

The spelling of 1211310313212 in words is "one trillion, two hundred eleven billion, three hundred ten million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 379 516 731 758 1137 1462 1516 2193 2274 2924 4386 4548 6443 8772 12886 16297 19329 25772 32594 38658 48891 65188 77316 97782 195564 277049 364349 554098 728698 831147 1093047 1108196 1457396 1662294 2186094 3324588 4372188 6193933 12387866 15667007 18581799 24775732 31334014 37163598 47001021 62668028 74327196 94002042 138088271 188004084 266339119 276176542 414264813 532678238 552353084 799017357 828529626 1065356476 1598034714 1657059252 2347500607 3196069428 4695001214 5937795653 7042501821 9390002428 11875591306 14085003642 17813386959 23751182612 28170007284 35626773918 71253547836 100942526101 201885052202 302827578303 403770104404 605655156606 1211310313212