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12314020542120 = 23325113109601147
BaseRepresentation
bin1011001100110001010011…
…0100011111011010101000
31121121012122021010110121100
42303030110310133122220
53103223103224321440
642104552152041400
72410441623411063
oct263142464373250
947535567113540
1012314020542120
113a1838a62a9a0
12146a658693260
136b429017045b
14308004c238da
151654b141e230
hexb3314d1f6a8

12314020542120 has 96 divisors (see below), whose sum is σ = 43658800117920. Its totient is φ = 2985217100160.

The previous prime is 12314020542113. The next prime is 12314020542127. The reversal of 12314020542120 is 2124502041321.

12314020542120 is a `hidden beast` number, since 1 + 2 + 3 + 14 + 0 + 205 + 421 + 20 = 666.

12314020542120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12314020542113) and next prime (12314020542127).

It is a super-4 number, since 4×123140205421204 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12314020542127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1554796614 + ... + 1554804533.

It is an arithmetic number, because the mean of its divisors is an integer number (454779167895).

Almost surely, 212314020542120 is an apocalyptic number.

12314020542120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314020542120 is an abundant number, since it is smaller than the sum of its proper divisors (31344779575800).

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

12314020542120 is a wasteful number, since it uses less digits than its factorization.

12314020542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109601175 (or 3109601168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12314020542120 its reverse (2124502041321), we get a palindrome (14438522583441).

The spelling of 12314020542120 in words is "twelve trillion, three hundred fourteen billion, twenty million, five hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3109601147 6219202294 9328803441 12438404588 15548005735 18657606882 24876809176 27986410323 31096011470 34205612617 37315213764 46644017205 55972820646 62192022940 68411225234 74630427528 93288034410 102616837851 111945641292 124384045880 136822450468 139932051615 171028063085 186576068820 205233675702 223891282584 273644900936 279864103230 307850513553 342056126170 373152137640 410467351404 513084189255 559728206460 615701027106 684112252340 820934702808 1026168378510 1119456412920 1231402054212 1368224504680 1539252567765 2052336757020 2462804108424 3078505135530 4104673514040 6157010271060 12314020542120