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1220040515232 = 253271155016257
BaseRepresentation
bin10001110000010000000…
…101001101111010100000
311022122010201110202200100
4101300100011031322200
5124442120332441412
62332251234222400
7154100512162110
oct21602005157240
94278121422610
101220040515232
11430464078880
12178551124a00
138b0844a9846
144309bd59040
1521b092aaedc
hex11c1014dea0

1220040515232 has 144 divisors (see below), whose sum is σ = 4325598268992. Its totient is φ = 316893634560.

The previous prime is 1220040515219. The next prime is 1220040515251. The reversal of 1220040515232 is 2325150400221.

1220040515232 is a `hidden beast` number, since 1 + 2 + 20 + 0 + 405 + 1 + 5 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1220040515196 and 1220040515205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27485953 + ... + 27530304.

It is an arithmetic number, because the mean of its divisors is an integer number (30038876868).

Almost surely, 21220040515232 is an apocalyptic number.

1220040515232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220040515232 is an abundant number, since it is smaller than the sum of its proper divisors (3105557753760).

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

1220040515232 is a wasteful number, since it uses less digits than its factorization.

1220040515232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55016291 (or 55016280 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1220040515232 its reverse (2325150400221), we get a palindrome (3545190915453).

The spelling of 1220040515232 in words is "one trillion, two hundred twenty billion, forty million, five hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 55016257 110032514 165048771 220065028 330097542 385113799 440130056 495146313 605178827 660195084 770227598 880260112 990292626 1155341397 1210357654 1320390168 1540455196 1760520224 1815536481 1980585252 2310682794 2420715308 2640780336 3080910392 3466024191 3631072962 3961170504 4236251789 4621365588 4841430616 5281560672 5446609443 6161820784 6932048382 7262145924 7922341008 8472503578 9242731176 9682861232 10893218886 12323641568 12708755367 13864096764 14524291848 15844682016 16945007156 18485462352 19365722464 21786437772 25417510734 27728193528 29048583696 33890014312 36970924704 38126266101 43572875544 50835021468 55456387056 58097167392 67780028624 76252532202 87145751088 101670042936 110912774112 135560057248 152505064404 174291502176 203340085872 305010128808 406680171744 610020257616 1220040515232