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120213210312 = 233213128432917
BaseRepresentation
bin110111111110101000…
…1000000010011001000
3102111021212100211001200
41233331101000103020
53432144040212222
6131120350144200
711453665266546
oct1577521002310
9374255324050
10120213210312
1146a89250198
121b36b1b2060
13b44a418510
145b657a6d96
1531d8a6deac
hex1bfd4404c8

120213210312 has 48 divisors (see below), whose sum is σ = 350621866140. Its totient is φ = 36988679808.

The previous prime is 120213210307. The next prime is 120213210331. The reversal of 120213210312 is 213012312021.

120213210312 is a `hidden beast` number, since 12 + 0 + 21 + 321 + 0 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96563076516 + 23650133796 = 310746^2 + 153786^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64215523 + ... + 64217394.

Almost surely, 2120213210312 is an apocalyptic number.

120213210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120213210312 is an abundant number, since it is smaller than the sum of its proper divisors (230408655828).

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

120213210312 is a wasteful number, since it uses less digits than its factorization.

120213210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128432942 (or 128432935 counting only the distinct ones).

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

Adding to 120213210312 its reverse (213012312021), we get a palindrome (333225522333).

The spelling of 120213210312 in words is "one hundred twenty billion, two hundred thirteen million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 128432917 256865834 385298751 513731668 770597502 1027463336 1155896253 1541195004 1669627921 2311792506 3082390008 3339255842 4623585012 5008883763 6678511684 9247170024 10017767526 13357023368 15026651289 20035535052 30053302578 40071070104 60106605156 120213210312