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12010641615300 = 223522913710076887
BaseRepresentation
bin1010111011000111001000…
…0001101110100111000100
31120112012120021011011122110
42232301302001232213010
53033240243223142200
641313340152501020
72346511616160006
oct256616201564704
946465507134573
1012010641615300
113910759090999
12141b8ab6aa770
136917a22b6783
142d746503c376
1515c6572bbb50
hexaec7206e9c4

12010641615300 has 144 divisors (see below), whose sum is σ = 36211498565760. Its totient is φ = 3069822551040.

The previous prime is 12010641615293. The next prime is 12010641615311. The reversal of 12010641615300 is 351614601021.

It is a happy number.

It is a super-2 number, since 2×120106416153002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3846544 + ... + 6230343.

It is an arithmetic number, because the mean of its divisors is an integer number (251468740040).

Almost surely, 212010641615300 is an apocalyptic number.

12010641615300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010641615300 is an abundant number, since it is smaller than the sum of its proper divisors (24200856950460).

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

12010641615300 is a wasteful number, since it uses less digits than its factorization.

12010641615300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077070 (or 10077063 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 12010641615300 in words is "twelve trillion, ten billion, six hundred forty-one million, six hundred fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 137 145 150 174 274 290 300 348 411 435 548 580 685 725 822 870 1370 1450 1644 1740 2055 2175 2740 2900 3425 3973 4110 4350 6850 7946 8220 8700 10275 11919 13700 15892 19865 20550 23838 39730 41100 47676 59595 79460 99325 119190 198650 238380 297975 397300 595950 1191900 10076887 20153774 30230661 40307548 50384435 60461322 100768870 120922644 151153305 201537740 251922175 292229723 302306610 503844350 584459446 604613220 755766525 876689169 1007688700 1168918892 1380533519 1461148615 1511533050 1753378338 2761067038 2922297230 3023066100 3506756676 4141600557 4383445845 5522134076 5844594460 6902667595 7305743075 8283201114 8766891690 13805335190 14611486150 16566402228 17533783380 20708002785 21917229225 27610670380 29222972300 34513337975 40035472051 41416005570 43834458450 69026675950 80070944102 82832011140 87668916900 103540013925 120106416153 138053351900 160141888204 200177360255 207080027850 240212832306 400354720510 414160055700 480425664612 600532080765 800709441020 1000886801275 1201064161530 2001773602550 2402128323060 3002660403825 4003547205100 6005320807650 12010641615300