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121023011120 = 24511295389477
BaseRepresentation
bin111000010110110001…
…0001001100100110000
3102120101022010221221012
41300231202021210300
53440323342323440
6131332555050052
711513030423054
oct1605542114460
9376338127835
10121023011120
1147364375560
121b556440928
13b5491203ab
145c01163c64
153234bcee65
hex1c2d889930

121023011120 has 160 divisors (see below), whose sum is σ = 323538131520. Its totient is φ = 41688657920.

The previous prime is 121023011107. The next prime is 121023011147. The reversal of 121023011120 is 21110320121.

It is a junction number, because it is equal to n+sod(n) for n = 121023011095 and 121023011104.

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, 1307822 + ... + 1397298.

It is an arithmetic number, because the mean of its divisors is an integer number (2022113322).

Almost surely, 2121023011120 is an apocalyptic number.

121023011120 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 121023011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161769065760).

121023011120 is an abundant number, since it is smaller than the sum of its proper divisors (202515120400).

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

121023011120 is a wasteful number, since it uses less digits than its factorization.

121023011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89583 (or 89577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 121023011120 its reverse (21110320121), we get a palindrome (142133331241).

The spelling of 121023011120 in words is "one hundred twenty-one billion, twenty-three million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 53 55 58 80 88 106 110 116 145 176 212 220 232 265 290 319 424 440 464 530 580 583 638 848 880 1060 1160 1166 1276 1537 1595 2120 2320 2332 2552 2915 3074 3190 4240 4664 5104 5830 6148 6380 7685 9328 11660 12296 12760 15370 16907 23320 24592 25520 30740 33814 46640 61480 67628 84535 89477 122960 135256 169070 178954 270512 338140 357908 447385 676280 715816 894770 984247 1352560 1431632 1789540 1968494 2594833 3579080 3936988 4742281 4921235 5189666 7158160 7873976 9484562 9842470 10379332 12974165 15747952 18969124 19684940 20758664 23711405 25948330 28543163 37938248 39369880 41517328 47422810 51896660 52165091 57086326 75876496 78739760 94845620 103793320 104330182 114172652 137526149 142715815 189691240 207586640 208660364 228345304 260825455 275052298 285431630 379382480 417320728 456690608 521650910 550104596 570863260 687630745 834641456 1043301820 1100209192 1141726520 1375261490 1512787639 2086603640 2200418384 2283453040 2750522980 3025575278 4173207280 5501045960 6051150556 7563938195 11002091920 12102301112 15127876390 24204602224 30255752780 60511505560 121023011120