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120066121206 = 23314917386257
BaseRepresentation
bin110111111010001111…
…1111001110111110110
3102110220121120220202000
41233310133321313312
53431343411334311
6131054013400130
711450231122413
oct1576437716766
9373817526660
10120066121206
1146a13216a49
121b329a99046
13b425ac8545
145b5003910a
1531cabb7056
hex1bf47f9df6

120066121206 has 64 divisors (see below), whose sum is σ = 270160056000. Its totient is φ = 39523189248.

The previous prime is 120066121199. The next prime is 120066121249. The reversal of 120066121206 is 602121660021.

120066121206 is a `hidden beast` number, since 1 + 20 + 0 + 6 + 612 + 1 + 20 + 6 = 666.

It is a super-2 number, since 2×1200661212062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120066121206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348830 + ... + 1435086.

It is an arithmetic number, because the mean of its divisors is an integer number (4221250875).

Almost surely, 2120066121206 is an apocalyptic number.

120066121206 is an abundant number, since it is smaller than the sum of its proper divisors (150093934794).

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

120066121206 is a wasteful number, since it uses less digits than its factorization.

120066121206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86590 (or 86584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 120066121206 its reverse (602121660021), we get a palindrome (722187781227).

The spelling of 120066121206 in words is "one hundred twenty billion, sixty-six million, one hundred twenty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 149 173 298 346 447 519 894 1038 1341 1557 2682 3114 4023 4671 8046 9342 25777 51554 77331 86257 154662 172514 231993 258771 463986 517542 695979 776313 1391958 1552626 2328939 4657878 12852293 14922461 25704586 29844922 38556879 44767383 77113758 89534766 115670637 134302149 231341274 268604298 347011911 402906447 694023822 805812894 2223446689 4446893378 6670340067 13340680134 20011020201 40022040402 60033060603 120066121206