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12132200101000 = 235373833452171
BaseRepresentation
bin1011000010001011111101…
…1110100011010010001000
31120221211022212220001121111
42300202333132203102020
53042233221211213000
641445242241020104
72361344141226340
oct260427736432210
946854285801544
1012132200101000
113958267742421
12143b375324634
136a00a532ca15
142dd2b734dd20
151608bdec0cba
hexb08bf7a3488

12132200101000 has 128 divisors (see below), whose sum is σ = 32453505826560. Its totient is φ = 4158517056000.

The previous prime is 12132200100997. The next prime is 12132200101019. The reversal of 12132200101000 is 10100223121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26604915 + ... + 27057085.

It is an arithmetic number, because the mean of its divisors is an integer number (253543014270).

Almost surely, 212132200101000 is an apocalyptic number.

12132200101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132200101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226752913280).

12132200101000 is an abundant number, since it is smaller than the sum of its proper divisors (20321305725560).

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

12132200101000 is a wasteful number, since it uses less digits than its factorization.

12132200101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456032 (or 456018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12132200101000 its reverse (10100223121), we get a palindrome (12142300324121).

The spelling of 12132200101000 in words is "twelve trillion, one hundred thirty-two billion, two hundred million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 3833 7000 7666 15332 19165 26831 30664 38330 53662 76660 95825 107324 134155 153320 191650 214648 268310 383300 452171 479125 536620 670775 766600 904342 958250 1073240 1341550 1808684 1916500 2260855 2683100 3165197 3353875 3617368 3833000 4521710 5366200 6330394 6707750 9043420 11304275 12660788 13415500 15825985 18086840 22608550 25321576 26831000 31651970 45217100 56521375 63303940 79129925 90434200 113042750 126607880 158259850 226085500 316519700 395649625 452171000 633039400 791299250 1582598500 1733171443 3165197000 3466342886 6932685772 8665857215 12132200101 13865371544 17331714430 24264400202 34663428860 43329286075 48528800404 60661000505 69326857720 86658572150 97057600808 121322001010 173317144300 216646430375 242644002020 303305002525 346634288600 433292860750 485288004040 606610005050 866585721500 1213220010100 1516525012625 1733171443000 2426440020200 3033050025250 6066100050500 12132200101000