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12041332080 = 2435192640643
BaseRepresentation
bin10110011011011100…
…00010010101110000
31011002011220001022020
423031232002111300
5144130040111310
65310503311440
7604252430301
oct131556022560
934064801266
1012041332080
11511a022018
12240074b580
13119b8a678b
148232da7a8
154a71d7170
hex2cdb82570

12041332080 has 80 divisors (see below), whose sum is σ = 39292782720. Its totient is φ = 3042019584.

The previous prime is 12041332057. The next prime is 12041332081. The reversal of 12041332080 is 8023314021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12041332080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041332081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315762 + ... + 1324881.

It is an arithmetic number, because the mean of its divisors is an integer number (491159784).

Almost surely, 212041332080 is an apocalyptic number.

12041332080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041332080 is an abundant number, since it is smaller than the sum of its proper divisors (27251450640).

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

12041332080 is a wasteful number, since it uses less digits than its factorization.

12041332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640678 (or 2640672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 12041332080 in words is "twelve billion, forty-one million, three hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 2640643 5281286 7921929 10562572 13203215 15843858 21125144 26406430 31687716 39609645 42250288 50172217 52812860 63375432 79219290 100344434 105625720 126750864 150516651 158438580 200688868 211251440 250861085 301033302 316877160 401377736 501722170 602066604 633754320 752583255 802755472 1003444340 1204133208 1505166510 2006888680 2408266416 3010333020 4013777360 6020666040 12041332080