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121230020441340 = 2232517291366125991
BaseRepresentation
bin11011100100001000010000…
…010011011111010011111100
3120220020110212120020120112200
4123210020100103133103330
5111342213040213110330
61105500145203431500
734351402630343616
oct3344102023372374
9526213776216480
10121230020441340
113569a3aa0961a8
121171b234685590
135284c323b5a25
1421d17c8603db6
15e0370eb56a60
hex6e42104df4fc

121230020441340 has 144 divisors (see below), whose sum is σ = 402788587481280. Its totient is φ = 29377173288960.

The previous prime is 121230020441279. The next prime is 121230020441351. The reversal of 121230020441340 is 43144020032121.

121230020441340 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 3 + 0 + 0 + 204 + 413 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682974256 + ... + 683151735.

It is an arithmetic number, because the mean of its divisors is an integer number (2797142968620).

Almost surely, 2121230020441340 is an apocalyptic number.

121230020441340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121230020441340 is an abundant number, since it is smaller than the sum of its proper divisors (281558567039940).

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

121230020441340 is a wasteful number, since it uses less digits than its factorization.

121230020441340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366126052 (or 1366126047 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 121230020441340 its reverse (43144020032121), we get a palindrome (164374040473461).

The spelling of 121230020441340 in words is "one hundred twenty-one trillion, two hundred thirty billion, twenty million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 4437 4930 5220 5916 7395 8874 9860 14790 17748 22185 29580 44370 88740 1366125991 2732251982 4098377973 5464503964 6830629955 8196755946 12295133919 13661259910 16393511892 20491889865 23224141847 24590267838 27322519820 39617653739 40983779730 46448283694 49180535676 61475669595 69672425541 79235307478 81967559460 92896567388 116120709235 118852961217 122951339190 139344851082 158470614956 198088268695 209017276623 232241418470 237705922434 245902678380 278689702164 348362127705 356558883651 396176537390 418034553246 464482836940 475411844868 594264806085 673500113563 696724255410 713117767302 792353074780 836069106492 1045086383115 1188529612170 1347000227126 1393448510820 1426235534604 1782794418255 2020500340689 2090172766230 2377059224340 2694000454252 3367500567815 3565588836510 4041000681378 4180345532460 6061501022067 6735001135630 7131177673020 8082001362756 10102501703445 12123002044134 13470002271260 20205003406890 24246004088268 30307505110335 40410006813780 60615010220670 121230020441340