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1212041422431 = 347311132772203
BaseRepresentation
bin10001101000110011010…
…011000110011001011111
311021212111020202202020000
4101220303103012121133
5124324230101004211
62324445410025343
7153365342050620
oct21506323063137
94255436682200
101212041422431
1142802986aa84
12176a9a278253
138a3ab1c3638
144293d849a47
15217dbdde656
hex11a334c665f

1212041422431 has 160 divisors (see below), whose sum is σ = 2163647827968. Its totient is φ = 661623137280.

The previous prime is 1212041422429. The next prime is 1212041422441. The reversal of 1212041422431 is 1342241402121.

1212041422431 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 414 + 2 + 243 + 1 = 666.

It is not a de Polignac number, because 1212041422431 - 21 = 1212041422429 is a prime.

It is a super-2 number, since 2×12120414224312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1212041422395 and 1212041422404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212041422441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 550176576 + ... + 550178778.

Almost surely, 21212041422431 is an apocalyptic number.

1212041422431 is a deficient number, since it is larger than the sum of its proper divisors (951606405537).

1212041422431 is a wasteful number, since it uses less digits than its factorization.

1212041422431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1212041422431 its reverse (1342241402121), we get a palindrome (2554282824552).

The spelling of 1212041422431 in words is "one trillion, two hundred twelve billion, forty-one million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 31 63 81 93 113 189 217 277 279 339 567 651 791 831 837 1017 1939 1953 2203 2373 2493 2511 3051 3503 5817 5859 6609 7119 7479 8587 9153 10509 15421 17451 17577 19827 21357 22437 24521 25761 31301 31527 46263 52353 59481 60109 64071 68293 73563 77283 93903 94581 138789 157059 178443 180327 204879 219107 220689 231849 248939 281709 283743 416367 478051 540981 610231 614637 657321 662067 695547 746817 845127 970331 1249101 1434153 1622943 1742573 1830693 1843911 1971963 1986201 2240451 2535381 2910993 4271617 4302459 4868829 5227719 5492079 5531733 5915889 6721353 6792317 7717109 8732979 12814851 12907377 15683157 16476237 17747667 18917161 20164059 20376951 23151327 26198937 38444553 38722131 47049471 49428711 54019763 56751483 61130853 68956103 69453981 78596811 115333659 132420127 141148413 162059289 170254449 183392559 206868309 208361943 346000977 397260381 482692721 486177867 510763347 550177677 620604927 625085829 1191781143 1448078163 1458533601 1532290041 1861814781 2137639193 3575343429 4344234489 4375600803 5585444343 6412917579 10726030287 13032703467 14963474351 19238752737 39098110401 44890423053 57716258211 134671269159 173148774633 404013807477 1212041422431