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12120001121120 = 255164809459623
BaseRepresentation
bin1011000001011110100001…
…0111001000101101100000
31120220122211201100200011212
42300113220113020231200
53042033230241333440
641435503542325252
72360432632504334
oct260275027105540
946818751320155
1012120001121120
113953077735272
121438b2ba29828
1369bbacbaa329
142dc87b1377c4
15160408048465
hexb05e85c8b60

12120001121120 has 48 divisors (see below), whose sum is σ = 28633738684320. Its totient is φ = 4847960484864.

The previous prime is 12120001121117. The next prime is 12120001121143. The reversal of 12120001121120 is 2112110002121.

It is a junction number, because it is equal to n+sod(n) for n = 12120001121095 and 12120001121104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26139629 + ... + 26599251.

It is an arithmetic number, because the mean of its divisors is an integer number (596536222590).

Almost surely, 212120001121120 is an apocalyptic number.

12120001121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120001121120 is an abundant number, since it is smaller than the sum of its proper divisors (16513737563200).

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

12120001121120 is a wasteful number, since it uses less digits than its factorization.

12120001121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624447 (or 624439 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12120001121120 its reverse (2112110002121), we get a palindrome (14232111123241).

The spelling of 12120001121120 in words is "twelve trillion, one hundred twenty billion, one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 164809 329618 459623 659236 824045 919246 1318472 1648090 1838492 2298115 2636944 3296180 3676984 4596230 5273888 6592360 7353968 9192460 13184720 14707936 18384920 26369440 36769840 73539680 75750007007 151500014014 303000028028 378750035035 606000056056 757500070070 1212000112112 1515000140140 2424000224224 3030000280280 6060000560560 12120001121120