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121123539516996 = 2234472130092
BaseRepresentation
bin11011100010100101000101…
…100010111111111001000100
3120212212022000201121011110000
4123202211011202333321010
5111333442002104020441
61105335215204001300
734340613136412142
oct3342450542777104
9525768021534400
10121123539516996
1135659228411785
1211702678390230
135277b92ca3c13
1421ca5a6946592
15e00a7b9882b6
hex6e29458bfe44

121123539516996 has 135 divisors (see below), whose sum is σ = 323546109675789. Its totient is φ = 39512443427712.

The previous prime is 121123539516989. The next prime is 121123539517031. The reversal of 121123539516996 is 699615935321121.

The square root of 121123539516996 is 11005614.

It is a perfect power (a square), and thus also a powerful number.

121123539516996 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 2 + 3 + 539 + 5 + 1 + 6 + 9 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24151464963396 + 96972074553600 = 4914414^2 + 9847440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9310742940 + ... + 9310755948.

Almost surely, 2121123539516996 is an apocalyptic number.

121123539516996 is the 11005614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121123539516996

121123539516996 is an abundant number, since it is smaller than the sum of its proper divisors (202422570158793).

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

121123539516996 is an frugal number, since it uses more digits than its factorization.

121123539516996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26128 (or 13061 counting only the distinct ones).

The product of its digits is 23619600, while the sum is 63.

The spelling of 121123539516996 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, five hundred thirty-nine million, five hundred sixteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2209 2538 3807 4418 5076 6627 7614 8836 13009 13254 15228 19881 26018 26508 39027 39762 52036 59643 78054 79524 117081 119286 156108 178929 234162 238572 351243 357858 468324 611423 702486 715716 1053729 1222846 1404972 1834269 2107458 2445692 3668538 4214916 5502807 7337076 11005614 16508421 22011228 28736881 33016842 49525263 57473762 66033684 86210643 99050526 114947524 169234081 172421286 198101052 258631929 338468162 344842572 507702243 517263858 676936324 775895787 1015404486 1034527716 1523106729 1551791574 2030808972 2327687361 3046213458 3103583148 4569320187 4655374722 6092426916 7954001807 9138640374 9310749444 13707960561 15908003614 18277280748 23862005421 27415921122 31816007228 47724010842 54831842244 71586016263 95448021684 143172032526 214758048789 286344065052 373838084929 429516097578 644274146367 747676169858 859032195156 1121514254787 1288548292734 1495352339716 2243028509574 2577096585468 3364542764361 4486057019148 6729085528722 10093628293083 13458171057444 20187256586166 30280884879249 40374513172332 60561769758498 121123539516996