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120212103312 = 24327119258039
BaseRepresentation
bin110111111110100110…
…0110010000010010000
3102111021210021120112200
41233331030302002100
53432143244301222
6131120310323200
711453653006260
oct1577514620220
9374253246480
10120212103312
1146a88664514
121b36a959500
13b44a11b6a2
145b655997a0
1531d8900eac
hex1bfd332090

120212103312 has 60 divisors (see below), whose sum is σ = 384487920960. Its totient is φ = 34346314944.

The previous prime is 120212103311. The next prime is 120212103313. The reversal of 120212103312 is 213301212021.

120212103312 is a `hidden beast` number, since 120 + 2 + 1 + 210 + 331 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (120212103311) and next prime (120212103313).

It is a super-2 number, since 2×1202121033122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120212103311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59628012 + ... + 59630027.

It is an arithmetic number, because the mean of its divisors is an integer number (6408132016).

Almost surely, 2120212103312 is an apocalyptic number.

120212103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120212103312 is an abundant number, since it is smaller than the sum of its proper divisors (264275817648).

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

120212103312 is a wasteful number, since it uses less digits than its factorization.

120212103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119258060 (or 119258051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120212103312 its reverse (213301212021), we get a palindrome (333513315333).

The spelling of 120212103312 in words is "one hundred twenty billion, two hundred twelve million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 119258039 238516078 357774117 477032156 715548234 834806273 954064312 1073322351 1431096468 1669612546 1908128624 2146644702 2504418819 2862192936 3339225092 4293289404 5008837638 5724385872 6678450184 7513256457 8586578808 10017675276 13356900368 15026512914 17173157616 20035350552 30053025828 40070701104 60106051656 120212103312