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120011656221 = 3219210923109
BaseRepresentation
bin110111111000101000…
…0001000110000011101
3102110202211002210211100
41233301100020300131
53431240440444341
6131044350143313
711446000150362
oct1576120106035
9373684083740
10120011656221
11469954a6666
121b3137b1b39
13b417738a42
145b46adc469
1531c60093b6
hex1bf1408c1d

120011656221 has 54 divisors (see below), whose sum is σ = 184707325530. Its totient is φ = 75077295552.

The previous prime is 120011656189. The next prime is 120011656223. The reversal of 120011656221 is 122656110021.

120011656221 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 1 + 656 + 2 + 2 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19934333721 + 100077322500 = 141189^2 + 316350^2 .

It is not a de Polignac number, because 120011656221 - 25 = 120011656189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011656223) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 38599815 + ... + 38602923.

Almost surely, 2120011656221 is an apocalyptic number.

It is an amenable number.

120011656221 is a deficient number, since it is larger than the sum of its proper divisors (64695669309).

120011656221 is a wasteful number, since it uses less digits than its factorization.

120011656221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 120011656221 its reverse (122656110021), we get a palindrome (242667766242).

The spelling of 120011656221 in words is "one hundred twenty billion, eleven million, six hundred fifty-six thousand, two hundred twenty-one".

Divisors: 1 3 9 19 57 109 171 327 361 981 1083 2071 3109 3249 6213 9327 11881 18639 27981 35643 39349 59071 106929 118047 177213 225739 338881 354141 531639 677217 1016643 1122349 2031651 3049929 3367047 4289041 6438739 10101141 12867123 19316217 36938029 38601369 57948651 110814087 122336041 332442261 367008123 701822551 1101024369 2105467653 6316402959 13334628469 40003885407 120011656221