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12030235501152 = 2531190911253137
BaseRepresentation
bin1010111100010000000111…
…1010011110001001100000
31120121002010210111201000110
42233010001322132021200
53034100410242014102
641330340333451320
72351104310355441
oct257040172361140
946532123451013
1012030235501152
113918aa3349390
121423659640b40
136935a57bbb7b
142d83a340b2c8
1515ce0256786c
hexaf101e9e260

12030235501152 has 96 divisors (see below), whose sum is σ = 34454036824704. Its totient is φ = 3645121996800.

The previous prime is 12030235501087. The next prime is 12030235501181. The reversal of 12030235501152 is 25110553203021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8973528 + ... + 10226664.

It is an arithmetic number, because the mean of its divisors is an integer number (358896216924).

Almost surely, 212030235501152 is an apocalyptic number.

12030235501152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12030235501152 is an abundant number, since it is smaller than the sum of its proper divisors (22423801323552).

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

12030235501152 is a wasteful number, since it uses less digits than its factorization.

12030235501152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262252 (or 1262244 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 12030235501152 its reverse (25110553203021), we get a palindrome (37140788704173).

The spelling of 12030235501152 in words is "twelve trillion, thirty billion, two hundred thirty-five million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9091 18182 27273 36364 54546 72728 100001 109092 145456 200002 218184 290912 300003 400004 436368 600006 800008 872736 1200012 1253137 1600016 2400024 2506274 3200032 3759411 4800048 5012548 7518822 9600096 10025096 13784507 15037644 20050192 27569014 30075288 40100384 41353521 55138028 60150576 82707042 110276056 120301152 165414084 220552112 330828168 441104224 661656336 1323312672 11392268467 22784536934 34176805401 45569073868 68353610802 91138147736 125314953137 136707221604 182276295472 250629906274 273414443208 364552590944 375944859411 501259812548 546828886416 751889718822 1002519625096 1093657772832 1503779437644 2005039250192 3007558875288 4010078500384 6015117750576 12030235501152