Search a number
-
+
12254552621112 = 23317163235778179
BaseRepresentation
bin1011001001010011110001…
…0000011000000000111000
31121101112010211202002000110
42302110330100120000320
53101234310432333422
642021355212104320
72403235144415064
oct262247420300070
947345124662013
1012254552621112
1139a514352a73a
12145b020a650a0
136ab7a3a1a709
143051a2cb6aa4
15163b8076e60c
hexb253c418038

12254552621112 has 128 divisors (see below), whose sum is σ = 32651795692800. Its totient is φ = 3819309262848.

The previous prime is 12254552621071. The next prime is 12254552621159. The reversal of 12254552621112 is 21112625545221.

It is a super-3 number, since 3×122545526211123 (a number of 40 digits) contains 333 as substring.

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, 156710839 + ... + 156789017.

It is an arithmetic number, because the mean of its divisors is an integer number (255092153850).

Almost surely, 212254552621112 is an apocalyptic number.

12254552621112 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 12254552621112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325897846400).

12254552621112 is an abundant number, since it is smaller than the sum of its proper divisors (20397243071688).

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

12254552621112 is a wasteful number, since it uses less digits than its factorization.

12254552621112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80725 (or 80721 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The spelling of 12254552621112 in words is "twelve trillion, two hundred fifty-four billion, five hundred fifty-two million, six hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 163 204 326 408 489 652 978 1304 1956 2357 2771 3912 4714 5542 7071 8313 9428 11084 14142 16626 18856 22168 28284 33252 40069 56568 66504 78179 80138 120207 156358 160276 234537 240414 312716 320552 384191 469074 480828 625432 768382 938148 961656 1152573 1329043 1536764 1876296 2305146 2658086 3073528 3987129 4610292 5316172 6531247 7974258 9220584 10632344 12743177 13062494 15948516 19593741 25486354 26124988 31897032 38229531 39187482 50972708 52249976 76459062 78374964 101945416 152918124 156749928 184267903 216634009 305836248 368535806 433268018 552803709 649902027 737071612 866536036 1105607418 1299804054 1474143224 1733072072 2211214836 2599608108 3132554351 4422429672 5199216216 6265108702 9397663053 12530217404 18795326106 25060434808 30035668189 37590652212 60071336378 75181304424 90107004567 120142672756 180214009134 240285345512 360428018268 510606359213 720856036536 1021212718426 1531819077639 2042425436852 3063638155278 4084850873704 6127276310556 12254552621112