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1211201112012 = 2231721944940939
BaseRepresentation
bin10001101000000001001…
…101100100011111001100
311021210022200120120000220
4101220001031210133030
5124321014441041022
62324230151151340
7153335456404203
oct21500115443714
94253280516026
101211201112012
114277384a7361
121768a4975550
138a2a6098838
144289ddca23a
152178d25385c
hex11a013647cc

1211201112012 has 144 divisors (see below), whose sum is σ = 3167282160000. Its totient is φ = 359174946816.

The previous prime is 1211201111971. The next prime is 1211201112019. The reversal of 1211201112012 is 2102111021121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1211201111982 and 1211201112000.

It is not an unprimeable number, because it can be changed into a prime (1211201112019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29565039 + ... + 29605977.

It is an arithmetic number, because the mean of its divisors is an integer number (21995015000).

Almost surely, 21211201112012 is an apocalyptic number.

1211201112012 is a gapful number since it is divisible by the number (12) 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 1211201112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583641080000).

1211201112012 is an abundant number, since it is smaller than the sum of its proper divisors (1956081047988).

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

1211201112012 is a wasteful number, since it uses less digits than its factorization.

1211201112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41448 (or 41429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211201112012 its reverse (2102111021121), we get a palindrome (3313312133133).

The spelling of 1211201112012 in words is "one trillion, two hundred eleven billion, two hundred one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 289 323 449 578 646 867 898 969 1156 1292 1347 1734 1796 1938 2694 3468 3876 5388 5491 7633 8531 10982 15266 16473 17062 21964 22899 25593 30532 32946 34124 40939 45798 51186 65892 81878 91596 102372 122817 129761 145027 163756 245634 259522 290054 389283 435081 491268 519044 580108 695963 777841 778566 870162 1391926 1555682 1557132 1740324 2087889 2333523 2465459 2783852 3111364 4175778 4667046 4930918 7396377 8351556 9334092 9861836 11831371 13223297 14792754 18381611 23662742 26446594 29585508 35494113 36763222 39669891 47325484 52893188 55144833 70988226 73526444 79339782 110289666 141976452 158679564 220579332 224796049 312487387 349250609 449592098 624974774 674388147 698501218 899184196 937462161 1047751827 1249949548 1348776294 1397002436 1874924322 2095503654 2697552588 3749848644 4191007308 5312285579 5937260353 10624571158 11874520706 15936856737 17811781059 21249142316 23749041412 31873713474 35623562118 63747426948 71247124236 100933426001 201866852002 302800278003 403733704004 605600556006 1211201112012