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120022001122212 = 223273067636124413
BaseRepresentation
bin11011010010100011001100…
…101111011111101110100100
3120201221222202121202211210200
4123102203030233133232210
5111212420024241402322
61103133202433150500
734165206034505460
oct3322431457375644
9521858677684720
10120022001122212
1135274054736a42
12115650993bb430
1351c8045582697
14218d14b0234a0
15dd20aae068ac
hex6d28ccbdfba4

120022001122212 has 144 divisors (see below), whose sum is σ = 346912013465472. Its totient is φ = 34274026160640.

The previous prime is 120022001122193. The next prime is 120022001122237. The reversal of 120022001122212 is 212221100220021.

It is a happy number.

120022001122212 is a `hidden beast` number, since 1 + 200 + 220 + 0 + 11 + 22 + 212 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4916302918 + ... + 4916327330.

Almost surely, 2120022001122212 is an apocalyptic number.

120022001122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022001122212 is an abundant number, since it is smaller than the sum of its proper divisors (226890012343260).

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

120022001122212 is a wasteful number, since it uses less digits than its factorization.

120022001122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33858 (or 33853 counting only the distinct ones).

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

Adding to 120022001122212 its reverse (212221100220021), we get a palindrome (332243101342233).

The spelling of 120022001122212 in words is "one hundred twenty trillion, twenty-two billion, one 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 3067 6134 6361 9201 12268 12722 18402 19083 21469 24413 25444 27603 36804 38166 42938 44527 48826 55206 57249 64407 73239 76332 85876 89054 97652 110412 114498 128814 133581 146478 170891 178108 193221 219717 228996 257628 267162 292956 341782 386442 400743 439434 512673 534324 683564 772884 801486 878868 1025346 1538019 1602972 2050692 3076038 6152076 19509187 39018374 58527561 74874671 78036748 117055122 136564309 149749342 155291093 175582683 224624013 234110244 273128618 299498684 310582186 351165366 409692927 449248026 465873279 524122697 546257236 621164372 673872039 702330732 819385854 898496052 931746558 1048245394 1087037651 1229078781 1347744078 1397619837 1572368091 1638771708 1863493116 2096490788 2174075302 2458157562 2695488156 2795239674 3144736182 3261112953 4348150604 4717104273 4916315124 5590479348 6289472364 6522225906 9434208546 9783338859 13044451812 18868417092 19566677718 39133355436 476277782231 952555564462 1428833346693 1905111128924 2857666693386 3333944475617 4286500040079 5715333386772 6667888951234 8573000080158 10001833426851 13335777902468 17146000160316 20003666853702 30005500280553 40007333707404 60011000561106 120022001122212