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120102212120 = 235111731577801
BaseRepresentation
bin110111111011010100…
…1100101001000011000
3102111000010111112011112
41233312221211020120
53431432131241440
6131101343115452
711451146646632
oct1576651451030
9374003445145
10120102212120
1146a31627650
121b339ba2b88
13b430423a07
145b54b51a52
1531cde45965
hex1bf6a65218

120102212120 has 64 divisors (see below), whose sum is σ = 296500551840. Its totient is φ = 43421056000.

The previous prime is 120102212039. The next prime is 120102212123. The reversal of 120102212120 is 21212201021.

It is a super-2 number, since 2×1201022121202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120102212095 and 120102212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120102212123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 712781 + ... + 865020.

Almost surely, 2120102212120 is an apocalyptic number.

120102212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102212120 is an abundant number, since it is smaller than the sum of its proper divisors (176398339720).

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

120102212120 is a wasteful number, since it uses less digits than its factorization.

120102212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577996 (or 1577992 counting only the distinct ones).

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

Adding to 120102212120 its reverse (21212201021), we get a palindrome (141314413141).

The spelling of 120102212120 in words is "one hundred twenty billion, one hundred two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 346 440 692 865 1384 1730 1903 3460 3806 6920 7612 9515 15224 19030 38060 76120 1577801 3155602 6311204 7889005 12622408 15778010 17355811 31556020 34711622 63112040 69423244 86779055 138846488 173558110 272959573 347116220 545919146 694232440 1091838292 1364797865 2183676584 2729595730 3002555303 5459191460 6005110606 10918382920 12010221212 15012776515 24020442424 30025553030 60051106060 120102212120