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12102201122000 = 2453111567351053
BaseRepresentation
bin1011000000011100001101…
…1001100001110011010000
31120211221220012112000210012
42300013003121201303100
53041240301441401000
641423401402454052
72356232553142223
oct260070331416320
946757805460705
1012102201122000
1139465730364a0
1214355a2804328
1369a304234582
142dba6d0cd5ba
1515ec154e9735
hexb01c3661cd0

12102201122000 has 160 divisors (see below), whose sum is σ = 31943869461504. Its totient is φ = 4397979456000.

The previous prime is 12102201121987. The next prime is 12102201122009. The reversal of 12102201122000 is 22110220121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102201122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34298474 + ... + 34649526.

Almost surely, 212102201122000 is an apocalyptic number.

12102201122000 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 12102201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971934730752).

12102201122000 is an abundant number, since it is smaller than the sum of its proper divisors (19841668339504).

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

12102201122000 is a wasteful number, since it uses less digits than its factorization.

12102201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352654 (or 352638 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12102201122000 its reverse (22110220121), we get a palindrome (12124311342121).

The spelling of 12102201122000 in words is "twelve trillion, one hundred two billion, two hundred one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 1567 2000 2200 2750 3134 4400 5500 6268 7835 11000 12536 15670 17237 22000 25072 31340 34474 39175 62680 68948 78350 86185 125360 137896 156700 172370 195875 275792 313400 344740 351053 391750 430925 626800 689480 702106 783500 861850 1378960 1404212 1567000 1723700 1755265 2154625 2808424 3134000 3447400 3510530 3861583 4309250 5616848 6894800 7021060 7723166 8618500 8776325 14042120 15446332 17237000 17552650 19307915 28084240 30892664 34474000 35105300 38615830 43881625 61785328 70210600 77231660 87763250 96539575 140421200 154463320 175526500 193079150 308926640 351053000 386158300 482697875 550100051 702106000 772316600 965395750 1100200102 1544633200 1930791500 2200400204 2750500255 3861583000 4400800408 5501000510 6051100561 7723166000 8801600816 11002001020 12102201122 13752501275 22004002040 24204402244 27505002550 30255502805 44008004080 48408804488 55010005100 60511005610 68762506375 96817608976 110020010200 121022011220 137525012750 151277514025 220040020400 242044022440 275050025500 302555028050 484088044880 550100051000 605110056100 756387570125 1100200102000 1210220112200 1512775140250 2420440224400 3025550280500 6051100561000 12102201122000