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120213312012 = 2232101217915173
BaseRepresentation
bin110111111110101000…
…1011001001000001100
3102111021212112222120100
41233331101121020030
53432144101441022
6131120352251100
711453666202213
oct1577521311014
9374255488510
10120213312012
1146a8930a642
121b36b240a90
13b44a4528b1
145b657d207a
1531d8a8e1ac
hex1bfd45920c

120213312012 has 72 divisors (see below), whose sum is σ = 307042248240. Its totient is φ = 39653539200.

The previous prime is 120213311993. The next prime is 120213312029. The reversal of 120213312012 is 210213312021.

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

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, 7915258 + ... + 7930430.

It is an arithmetic number, because the mean of its divisors is an integer number (4264475670).

Almost surely, 2120213312012 is an apocalyptic number.

120213312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120213312012 is an abundant number, since it is smaller than the sum of its proper divisors (186828936228).

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

120213312012 is a wasteful number, since it uses less digits than its factorization.

120213312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17463 (or 17458 counting only the distinct ones).

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

Adding to 120213312012 its reverse (210213312021), we get a palindrome (330426624033).

Subtracting 120213312012 from its reverse (210213312021), we obtain a palindrome (90000000009).

The spelling of 120213312012 in words is "one hundred twenty billion, two hundred thirteen million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 2179 3636 4358 6537 8716 13074 15173 19611 26148 30346 39222 45519 60692 78444 91038 136557 182076 220079 273114 440158 546228 660237 880316 1320474 1532473 1980711 2640948 3064946 3961422 4597419 6129892 7922844 9194838 13792257 18389676 27584514 33061967 55169028 66123934 99185901 132247868 198371802 297557703 396743604 595115406 1190230812 3339258667 6678517334 10017776001 13357034668 20035552002 30053328003 40071104004 60106656006 120213312012