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12001210211100 = 22352113636730367
BaseRepresentation
bin1010111010100011111111…
…0111110001101100011100
31120111022012222022012022210
42232220333313301230130
53033111434303223400
641305140241040420
72346026114436525
oct256507767615434
946438188265283
1012001210211100
113907759325370
121419ab9026110
1369092b34aa26
142d6c0c60984c
1515c2a42c6950
hexaea3fdf1b1c

12001210211100 has 72 divisors (see below), whose sum is σ = 37880183513088. Its totient is φ = 2909384292800.

The previous prime is 12001210211071. The next prime is 12001210211147. The reversal of 12001210211100 is 111201210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1818361884 + ... + 1818368483.

It is an arithmetic number, because the mean of its divisors is an integer number (526113659904).

Almost surely, 212001210211100 is an apocalyptic number.

12001210211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001210211100 is an abundant number, since it is smaller than the sum of its proper divisors (25878973301988).

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

12001210211100 is a wasteful number, since it uses less digits than its factorization.

12001210211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636730395 (or 3636730388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001210211100 its reverse (111201210021), we get a palindrome (12112411421121).

The spelling of 12001210211100 in words is "twelve trillion, one billion, two hundred ten million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3636730367 7273460734 10910191101 14546921468 18183651835 21820382202 36367303670 40004034037 43640764404 54550955505 72734607340 80008068074 90918259175 109101911010 120012102111 160016136148 181836518350 200020170185 218203822020 240024204222 272754777525 363673036700 400040340370 480048408444 545509555050 600060510555 800080680740 1000100850925 1091019110100 1200121021110 2000201701850 2400242042220 3000302552775 4000403403700 6000605105550 12001210211100