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12215223815352 = 23323199122990481
BaseRepresentation
bin1011000111000001010000…
…0100111000110010111000
31121020202121221122201220220
42301300110010320302320
53100113234244042402
641551332451220040
72400343430162565
oct261602404706270
947222557581826
1012215223815352
11398a4a1436888
1214534858a7620
136a7b76a3000c
1430331190586c
15162b2cb69dbc
hexb1c14138cb8

12215223815352 has 128 divisors (see below), whose sum is σ = 32052343680000. Its totient is φ = 3871941765120.

The previous prime is 12215223815203. The next prime is 12215223815519. The reversal of 12215223815352 is 25351832251221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134957952 + ... + 135048432.

It is an arithmetic number, because the mean of its divisors is an integer number (250408935000).

Almost surely, 212215223815352 is an apocalyptic number.

12215223815352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12215223815352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026171840000).

12215223815352 is an abundant number, since it is smaller than the sum of its proper divisors (19837119864648).

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

12215223815352 is a wasteful number, since it uses less digits than its factorization.

12215223815352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91941 (or 91937 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The spelling of 12215223815352 in words is "twelve trillion, two hundred fifteen billion, two hundred twenty-three million, eight hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 199 276 398 552 597 796 1194 1229 1592 2388 2458 3687 4577 4776 4916 7374 9154 9832 13731 14748 18308 27462 28267 29496 36616 54924 56534 84801 90481 109848 113068 169602 180962 226136 244571 271443 339204 361924 489142 542886 678408 723848 733713 978284 1085772 1467426 1956568 2081063 2171544 2934852 4162126 5625133 5869704 6243189 8324252 11250266 12486378 16648504 16875399 18005719 22500532 24972756 33750798 36011438 45001064 49945512 54017157 67501596 72022876 108034314 111201149 135003192 144045752 216068628 222402298 333603447 414131537 432137256 444804596 667206894 828263074 889609192 1242394611 1334413788 1656526148 2484789222 2557626427 2668827576 3313052296 4969578444 5115252854 7672879281 9939156888 10230505708 15345758562 20461011416 22129028651 30691517124 44258057302 61383034248 66387085953 88516114604 132774171906 177032229208 265548343812 508967658973 531096687624 1017935317946 1526902976919 2035870635892 3053805953838 4071741271784 6107611907676 12215223815352