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221220120021012 = 2235741269787837
BaseRepresentation
bin110010010011001011010010…
…101010111100100000010100
31002000021102210112011122100000
4302103023102222330200110
5212443432301211133022
62102255041542051300
764411424541366030
oct6223132252744024
91060242715148300
10221220120021012
116453aa20612012
1220989b36719b30
139658c77368898
143c8b17a5b51c0
151a8969a1886ac
hexc932d2abc814

221220120021012 has 144 divisors (see below), whose sum is σ = 662766889715840. Its totient is φ = 63204136797312.

The previous prime is 221220120020983. The next prime is 221220120021049. The reversal of 221220120021012 is 210120021022122.

It is a happy number.

221220120021012 is a `hidden beast` number, since 2 + 21 + 220 + 1 + 200 + 210 + 12 = 666.

It is a super-2 number, since 2×2212201200210122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280400358 + ... + 281188194.

Almost surely, 2221220120021012 is an apocalyptic number.

It is an amenable number.

221220120021012 is an abundant number, since it is smaller than the sum of its proper divisors (441546769694828).

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

221220120021012 is a wasteful number, since it uses less digits than its factorization.

221220120021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829132 (or 829118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221220120021012 its reverse (210120021022122), we get a palindrome (431340141043134).

The spelling of 221220120021012 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 41269 82538 123807 165076 247614 288883 371421 495228 577766 742842 787837 866649 1114263 1155532 1485684 1575674 1733298 2228526 2363511 2599947 3151348 3342789 3466596 4457052 4727022 5199894 5514859 6685578 7090533 7799841 9454044 10028367 10399788 11029718 13371156 14181066 15599682 16544577 20056734 21271599 22059436 23399523 28362132 31199364 33089154 40113468 42543198 46799046 49633731 63814797 66178308 70198569 85086396 93598092 99267462 127629594 140397138 148901193 191444391 198534924 255259188 280794276 297802386 382888782 446703579 595604772 765777564 893407158 1340110737 1786814316 2680221474 5360442948 32513245153 65026490306 97539735459 130052980612 195079470918 227592716071 292619206377 390158941836 455185432142 585238412754 682778148213 877857619131 910370864284 1170476825508 1365556296426 1755715238262 2048334444639 2633572857393 2731112592852 3511430476524 4096668889278 5267145714786 6145003333917 7900718572179 8193337778556 10534291429572 12290006667834 15801437144358 18435010001751 24580013335668 31602874288716 36870020003502 55305030005253 73740040007004 110610060010506 221220120021012