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1021222120212 = 2232788117472633
BaseRepresentation
bin11101101110001011001…
…01001110101100010100
310121121221201120211111100
432313011211032230110
5113212430330321322
62101050514110100
7133531556540430
oct16670545165424
93547851524440
101021222120212
11364109299a18
12145b0527b330
13753bac11118
14375dab799c0
151b86e93bdac
hexedc594eb14

1021222120212 has 144 divisors (see below), whose sum is σ = 2956358950272. Its totient is φ = 291169105920.

The previous prime is 1021222120211. The next prime is 1021222120277. The reversal of 1021222120212 is 2120212221201.

It is a happy number.

1021222120212 is a `hidden beast` number, since 1 + 0 + 212 + 221 + 20 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021222120211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387853648 + ... + 387856280.

It is an arithmetic number, because the mean of its divisors is an integer number (20530270488).

Almost surely, 21021222120212 is an apocalyptic number.

1021222120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1021222120212 is an abundant number, since it is smaller than the sum of its proper divisors (1935136830060).

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

1021222120212 is a wasteful number, since it uses less digits than its factorization.

1021222120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5273 counting only the distinct ones).

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

Adding to 1021222120212 its reverse (2120212221201), we get a palindrome (3141434341413).

The spelling of 1021222120212 in words is "one trillion, twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 881 1747 1762 2633 2643 3494 3524 5241 5266 5286 6167 6988 7899 7929 10482 10532 10572 12229 12334 15723 15798 15858 18431 18501 20964 23697 24458 24668 31446 31596 31716 36687 36862 37002 47394 48916 55293 55503 62892 73374 73724 74004 94788 110061 110586 111006 146748 165879 220122 221172 222012 331758 440244 663516 1539107 2319673 3078214 4599851 4617321 4639346 6156428 6959019 9199702 9234642 9278692 10773749 13799553 13851963 13918038 16237711 18399404 18469284 20877057 21547498 27599106 27703926 27836076 32198957 32321247 32475422 41398659 41754114 43094996 48713133 55198212 55407852 64397914 64642494 64950844 82797318 83508228 96596871 96963741 97426266 128795828 129284988 146139399 165594636 193193742 193927482 194852532 289790613 292278798 386387484 387854964 579581226 584557596 1159162452 4052468731 8104937462 12157406193 16209874924 24314812386 28367281117 36472218579 48629624772 56734562234 72944437158 85101843351 113469124468 145888874316 170203686702 255305530053 340407373404 510611060106 1021222120212