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12120002210120 = 2357215439400523
BaseRepresentation
bin1011000001011110100001…
…1011010010100101001000
31120220122211210102000000012
42300113220123102211020
53042033231031210440
641435504021531052
72360432644661300
oct260275033224510
946818753360005
1012120002210120
113953078309472
121438b30273a88
1369bbb019bbcc
142dc87b33c600
151604081b0e65
hexb05e86d2948

12120002210120 has 96 divisors (see below), whose sum is σ = 31724384572800. Its totient is φ = 4155149803392.

The previous prime is 12120002210119. The next prime is 12120002210191. The reversal of 12120002210120 is 2101220002121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12120002210095 and 12120002210104.

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 23 ways as a sum of consecutive naturals, for example, 30060179 + ... + 30460701.

It is an arithmetic number, because the mean of its divisors is an integer number (330462339300).

Almost surely, 212120002210120 is an apocalyptic number.

12120002210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120002210120 is an abundant number, since it is smaller than the sum of its proper divisors (19604382362680).

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

12120002210120 is a wasteful number, since it uses less digits than its factorization.

12120002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415987 (or 415976 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120002210120 its reverse (2101220002121), we get a palindrome (14221222212241).

The spelling of 12120002210120 in words is "twelve trillion, one hundred twenty billion, two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 15439 30878 61756 77195 108073 123512 154390 216146 308780 400523 432292 540365 617560 756511 801046 864584 1080730 1513022 1602092 2002615 2161460 2803661 3026044 3204184 3782555 4005230 4322920 5607322 6052088 7565110 8010460 11214644 14018305 15130220 16020920 19625627 22429288 28036610 30260440 39251254 56073220 78502508 98128135 112146440 157005016 196256270 392512540 785025080 6183674597 12367349194 24734698388 30918372985 43285722179 49469396776 61836745970 86571444358 123673491940 173142888716 216428610895 247346983880 303000055253 346285777432 432857221790 606000110506 865714443580 1212000221012 1515000276265 1731428887160 2424000442024 3030000552530 6060001105060 12120002210120