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12252109519104 = 283713175310633
BaseRepresentation
bin1011001001001010101010…
…1000101011100100000000
31121101021211120121122002220
42302102222220223210000
53101214310014102404
642020312540011040
72403120460403520
oct262225250534400
947337746548086
1012252109519104
1139a40aa458a74
12145a65a830a80
136ab4a4820320
14305010637680
15163a8b0324d9
hexb24aaa2b900

12252109519104 has 144 divisors (see below), whose sum is σ = 40133512820352. Its totient is φ = 3231325569024.

The previous prime is 12252109519093. The next prime is 12252109519129. The reversal of 12252109519104 is 40191590125221.

It is a super-2 number, since 2×122521095191042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87585429 + ... + 87725204.

Almost surely, 212252109519104 is an apocalyptic number.

12252109519104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12252109519104 is an abundant number, since it is smaller than the sum of its proper divisors (27881403301248).

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

12252109519104 is a wasteful number, since it uses less digits than its factorization.

12252109519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175310672 (or 175310658 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 12252109519104 in words is "twelve trillion, two hundred fifty-two billion, one hundred nine million, five hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888 175310633 350621266 525931899 701242532 1051863798 1227174431 1402485064 2103727596 2279038229 2454348862 2804970128 3681523293 4207455192 4558076458 4908697724 5609940256 6837114687 7363046586 8414910384 9116152916 9817395448 11219880512 13674229374 14726093172 15953267603 16829820768 18232305832 19634790896 22439761024 27348458748 29452186344 31906535206 33659641536 36464611664 39269581792 44879522048 47859802809 54696917496 58904372688 63813070412 67319283072 72929223328 78539163584 95719605618 109393834992 117808745376 127626140824 134638566144 145858446656 157078327168 191439211236 218787669984 235617490752 255252281648 291716893312 314156654336 382878422472 437575339968 471234981504 510504563296 583433786624 765756844944 875150679936 942469963008 1021009126592 1531513689888 1750301359872 2042018253184 3063027379776 4084036506368 6126054759552 12252109519104