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1002212122212 = 2232731712545843
BaseRepresentation
bin11101001010110000111…
…11110101111001100100
310112210212212220212200100
432211120133311321210
5112410012300402322
62044224311544100
7132256515323640
oct16453037657144
93483785825610
101002212122212
11357043685074
1214229a98b030
137367b6829b2
143671615bc20
151b10aa79dac
hexe9587f5e64

1002212122212 has 72 divisors (see below), whose sum is σ = 2904413069376. Its totient is φ = 285442997184.

The previous prime is 1002212122187. The next prime is 1002212122243. The reversal of 1002212122212 is 2122212122001.

It is a happy number.

1002212122212 is a `hidden beast` number, since 10 + 0 + 221 + 212 + 221 + 2 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6193038 + ... + 6352805.

It is an arithmetic number, because the mean of its divisors is an integer number (40339070408).

Almost surely, 21002212122212 is an apocalyptic number.

1002212122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002212122212 is an abundant number, since it is smaller than the sum of its proper divisors (1902200947164).

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

1002212122212 is a wasteful number, since it uses less digits than its factorization.

1002212122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546177 (or 12546172 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1002212122212 its reverse (2122212122001), we get a palindrome (3124424244213).

The spelling of 1002212122212 in words is "one trillion, two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1268 1902 2219 2853 3804 4438 5706 6657 8876 11412 13314 19971 26628 39942 79884 12545843 25091686 37637529 50183372 75275058 87820901 112912587 150550116 175641802 225825174 263462703 351283604 451650348 526925406 790388109 1053850812 1580776218 3161552436 3977032231 7954064462 11931096693 15908128924 23862193386 27839225617 35793290079 47724386772 55678451234 71586580158 83517676851 111356902468 143173160316 167035353702 250553030553 334070707404 501106061106 1002212122212