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121000022120 = 23517316194099
BaseRepresentation
bin111000010110000101…
…0011101000001101000
3102120022200212222221202
41300230022131001220
53440302001201440
6131330414223332
711512331134535
oct1605412350150
9376280788852
10121000022120
11473523a358a
121b54a7b4b48
13b544431633
145bdc09bd8c
153232b8d615
hex1c2c29d068

121000022120 has 128 divisors (see below), whose sum is σ = 302444928000. Its totient is φ = 43360358400.

The previous prime is 121000022107. The next prime is 121000022183. The reversal of 121000022120 is 21220000121.

It is a happy 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, 1238831 + ... + 1332929.

It is an arithmetic number, because the mean of its divisors is an integer number (2362851000).

Almost surely, 2121000022120 is an apocalyptic number.

121000022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121000022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151222464000).

121000022120 is an abundant number, since it is smaller than the sum of its proper divisors (181444905880).

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

121000022120 is a wasteful number, since it uses less digits than its factorization.

121000022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94219 (or 94215 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121000022120 its reverse (21220000121), we get a palindrome (142220022241).

The spelling of 121000022120 in words is "one hundred twenty-one billion, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 61 62 68 85 122 124 136 155 170 244 248 305 310 340 488 527 610 620 680 1037 1054 1220 1240 1891 2074 2108 2440 2635 3782 4148 4216 5185 5270 7564 8296 9455 10370 10540 15128 18910 20740 21080 32147 37820 41480 64294 75640 94099 128588 160735 188198 257176 321470 376396 470495 642940 752792 940990 1285880 1599683 1881980 2917069 3199366 3763960 5740039 5834138 6398732 7998415 11480078 11668276 12797464 14585345 15996830 22960156 23336552 28700195 29170690 31993660 45920312 49590173 57400390 58341380 63987320 97580663 99180346 114800780 116682760 177941209 195161326 198360692 229601560 247950865 355882418 390322652 396721384 487903315 495901730 711764836 780645304 889706045 975806630 991803460 1423529672 1779412090 1951613260 1983606920 3025000553 3558824180 3903226520 6050001106 7117648360 12100002212 15125002765 24200004424 30250005530 60500011060 121000022120