Search a number
-
+
120211211221212 = 2231943110311116451
BaseRepresentation
bin11011010101010011011010…
…100010101111100011011100
3120202122002010222221202201010
4123111103122202233203130
5111224020030033034322
61103400133522215220
734214654610015246
oct3325233242574334
9522562128852633
10120211211221212
113533731991a891
12115958a34b4510
13520cb3a359147
14219837a0c5096
15dd6e81e8d20c
hex6d54da8af8dc

120211211221212 has 96 divisors (see below), whose sum is σ = 302395952517120. Its totient is φ = 37044991569600.

The previous prime is 120211211221207. The next prime is 120211211221243. The reversal of 120211211221212 is 212122112112021.

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, 5255587 + ... + 16372037.

It is an arithmetic number, because the mean of its divisors is an integer number (3149957838720).

Almost surely, 2120211211221212 is an apocalyptic number.

120211211221212 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 120211211221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151197976258560).

120211211221212 is an abundant number, since it is smaller than the sum of its proper divisors (182184741295908).

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

120211211221212 is a wasteful number, since it uses less digits than its factorization.

120211211221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117623 (or 11117621 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 120211211221212 its reverse (212122112112021), we get a palindrome (332333323333233).

The spelling of 120211211221212 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 516 817 1103 1634 2206 2451 3268 3309 4412 4902 6618 9804 13236 20957 41914 47429 62871 83828 94858 125742 142287 189716 251484 284574 569148 901151 1802302 2703453 3604604 5406906 10813812 11116451 22232902 33349353 44465804 66698706 133397412 211212569 422425138 478007393 633637707 844850276 956014786 1267275414 1434022179 1912029572 2534550828 2868044358 5736088716 9082140467 12261445453 18164280934 24522890906 27246421401 36328561868 36784336359 49045781812 54492842802 73568672718 108985685604 147137345436 232967463607 465934927214 527242154479 698902390821 931869854428 1054484308958 1397804781642 1581726463437 2108968617916 2795609563284 3163452926874 6326905853748 10017600935101 20035201870202 30052802805303 40070403740404 60105605610606 120211211221212