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13112054221200 = 2435211993337441
BaseRepresentation
bin1011111011001110001101…
…0101011000100110010000
31201102111111121021202101020
42332303203111120212100
53204311441340034300
643515332231235440
72522212632642054
oct276634325304620
951374447252336
1013112054221200
1141a5877860680
121579254518b80
137415cc93520c
143348abd79c64
1517b11bca28a0
hexbece3558990

13112054221200 has 120 divisors (see below), whose sum is σ = 45820669524576. Its totient is φ = 3178679808000.

The previous prime is 13112054221177. The next prime is 13112054221223. The reversal of 13112054221200 is 212245021131.

It is a happy number.

13112054221200 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 (13112054221177) and next prime (13112054221223).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496655521 + ... + 496681920.

Almost surely, 213112054221200 is an apocalyptic number.

13112054221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112054221200 is an abundant number, since it is smaller than the sum of its proper divisors (32708615303376).

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

13112054221200 is a wasteful number, since it uses less digits than its factorization.

13112054221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993337473 (or 993337462 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13112054221200 its reverse (212245021131), we get a palindrome (13324299242331).

The spelling of 13112054221200 in words is "thirteen trillion, one hundred twelve billion, fifty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 993337441 1986674882 2980012323 3973349764 4966687205 5960024646 7946699528 9933374410 10926711851 11920049292 14900061615 15893399056 19866748820 21853423702 23840098584 24833436025 29800123230 32780135553 39733497640 43706847404 47680197168 49666872050 54633559255 59600246460 65560271106 74500308075 79466995280 87413694808 99333744100 109267118510 119200492920 131120542212 149000616150 163900677765 174827389616 198667488200 218534237020 238400985840 262241084424 273167796275 298001232300 327801355530 397334976400 437068474040 524482168848 546335592550 596002464600 655602711060 819503388825 874136948080 1092671185100 1192004929200 1311205422120 1639006777650 2185342370200 2622410844240 3278013555300 4370684740400 6556027110600 13112054221200