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1219680869121 = 3311134116194759
BaseRepresentation
bin10001101111111010101…
…001010001101100000001
311022121012122201211222000
4101233322221101230001
5124440401300302441
62332151425534213
7154055554221141
oct21577251215401
94277178654860
101219680869121
1143029a065390
121784707a4369
138b027b26bb0
144306629a921
1521ad79192b6
hex11bfaa51b01

1219680869121 has 128 divisors (see below), whose sum is σ = 2176409088000. Its totient is φ = 665145561600.

The previous prime is 1219680869119. The next prime is 1219680869123.

1219680869121 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1219680869119) and next prime (1219680869123).

It is not a de Polignac number, because 1219680869121 - 21 = 1219680869119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1219680869123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256286940 + ... + 256291698.

It is an arithmetic number, because the mean of its divisors is an integer number (17003196000).

Almost surely, 21219680869121 is an apocalyptic number.

1219680869121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1219680869121 is a deficient number, since it is larger than the sum of its proper divisors (956728218879).

1219680869121 is a wasteful number, since it uses less digits than its factorization.

1219680869121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 1219680869121 in words is "one trillion, two hundred nineteen billion, six hundred eighty million, eight hundred sixty-nine thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 41 99 117 123 143 297 351 369 429 451 533 1107 1287 1353 1599 1619 3861 4059 4759 4797 4857 5863 12177 14277 14391 14571 17589 17809 21047 42831 43713 52349 52767 53427 61867 63141 66379 128493 157047 158301 160281 185601 189423 195119 199137 231517 471141 480843 556803 568269 585357 597411 680537 694551 730169 862927 1413423 1670409 1756071 1792233 2041611 2083653 2146309 2190507 2536547 2588781 5268213 6124833 6250959 6438927 6571521 7609641 7704821 7766343 9492197 18374499 19316781 19714563 22828923 23114463 23299029 27902017 28476591 57950343 68486769 69343389 83706051 84753031 85429773 100162673 208030167 251118153 254259093 256289319 300488019 315897661 753354459 762777279 901464057 947692983 1101789403 2288331837 2704392171 2843078949 3305368209 3474874271 4106669593 8529236847 9916104627 10424622813 12320008779 29748313881 31273868439 36960026337 45173365523 93821605317 110880079011 135520096569 406560289707 1219680869121