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12050220454524 = 22327412933980549
BaseRepresentation
bin1010111101011010100100…
…0111000001001001111100
31120122222201120201112011200
42233112221013001021330
53034412322414021044
641343443404415500
72352412460563560
oct257265107011174
946588646645150
1012050220454524
11392651933067a
1214274b6547590
1369543c028b75
142d933b6d76a0
1515d6c1d10369
hexaf5a91c127c

12050220454524 has 144 divisors (see below), whose sum is σ = 35782533259200. Its totient is φ = 3347481646080.

The previous prime is 12050220454471. The next prime is 12050220454537. The reversal of 12050220454524 is 42545402205021.

12050220454524 is a `hidden beast` number, since 1 + 20 + 50 + 2 + 20 + 4 + 545 + 24 = 666.

12050220454524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037002 + ... + 5017550.

It is an arithmetic number, because the mean of its divisors is an integer number (248489814300).

Almost surely, 212050220454524 is an apocalyptic number.

12050220454524 is a gapful number since it is divisible by the number (14) 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 12050220454524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17891266629600).

12050220454524 is an abundant number, since it is smaller than the sum of its proper divisors (23732312804676).

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

12050220454524 is a wasteful number, since it uses less digits than its factorization.

12050220454524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980900 (or 3980895 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 12050220454524 its reverse (42545402205021), we get a palindrome (54595622659545).

The spelling of 12050220454524 in words is "twelve trillion, fifty billion, two hundred twenty million, four hundred fifty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 293 369 492 574 586 738 861 879 1148 1172 1476 1722 1758 2051 2583 2637 3444 3516 4102 5166 5274 6153 8204 10332 10548 12013 12306 18459 24026 24612 36039 36918 48052 72078 73836 84091 108117 144156 168182 216234 252273 336364 432468 504546 756819 1009092 1513638 3027276 3980549 7961098 11941647 15922196 23883294 27863843 35824941 47766588 55727686 71649882 83591529 111455372 143299764 163202509 167183058 250774587 326405018 334366116 489607527 501549174 652810036 979215054 1003098348 1142417563 1166300857 1468822581 1958430108 2284835126 2332601714 2937645162 3427252689 3498902571 4569670252 4665203428 5875290324 6854505378 6997805142 8164105999 10281758067 10496707713 13709010756 13995610284 16328211998 20563516134 20993415426 24492317997 32656423996 41127032268 41986830852 47818335137 48984635994 73476953991 95636670274 97969271988 143455005411 146953907982 191273340548 286910010822 293907815964 334728345959 430365016233 573820021644 669456691918 860730032466 1004185037877 1338913383836 1721460064932 2008370075754 3012555113631 4016740151508 6025110227262 12050220454524