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12091001200100 = 22522931061388937
BaseRepresentation
bin1010111111110010011111…
…0101001101110111100100
31120210212222122220001020222
42233330213311031313210
53041044332301400400
641414310153343512
72355355165315544
oct257744765156744
946725878801228
1012091001200100
113941845a69399
121433397a07b98
1369923aa7c354
142db2c985b324
1515e7ac119185
hexaff27d4dde4

12091001200100 has 72 divisors (see below), whose sum is σ = 26351901448488. Its totient is φ = 4815338828800.

The previous prime is 12091001200081. The next prime is 12091001200147. The reversal of 12091001200100 is 100210019021.

It can be written as a sum of positive squares in 12 ways, for example, as 102455047396 + 11988546152704 = 320086^2 + 3462448^2 .

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, 30892832 + ... + 31281768.

It is an arithmetic number, because the mean of its divisors is an integer number (365998631229).

Almost surely, 212091001200100 is an apocalyptic number.

12091001200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12091001200100 is an abundant number, since it is smaller than the sum of its proper divisors (14260900248388).

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

12091001200100 is a wasteful number, since it uses less digits than its factorization.

12091001200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390305 (or 390298 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12091001200100 its reverse (100210019021), we get a palindrome (12191211219121).

The spelling of 12091001200100 in words is "twelve trillion, ninety-one billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1061 1172 1465 2122 2930 4244 5305 5860 7325 10610 14650 21220 26525 29300 53050 106100 310873 388937 621746 777874 1243492 1554365 1555748 1944685 3108730 3889370 6217460 7771825 7778740 9723425 15543650 19446850 31087300 38893700 113958541 227917082 412662157 455834164 569792705 825324314 1139585410 1650648628 2063310785 2279170820 2848963525 4126621570 5697927050 8253243140 10316553925 11395854100 20633107850 41266215700 120910012001 241820024002 483640048004 604550060005 1209100120010 2418200240020 3022750300025 6045500600050 12091001200100