Search a number
-
+
12001112201010 = 2351771331430881
BaseRepresentation
bin1010111010100011101000…
…0001111001011100110010
31120111021222010212202202110
42232220322001321130302
53033111234210413020
641305122420230150
72346023514403032
oct256507201713462
946437863782673
1012001112201010
113907708a72999
121419a9023b356
13690913c52baa
142d6bdd5b58c2
1515c29a8b68e0
hexaea3a079732

12001112201010 has 64 divisors (see below), whose sum is σ = 30926478461184. Its totient is φ = 2969620684800.

The previous prime is 12001112200981. The next prime is 12001112201101. The reversal of 12001112201010 is 1010221110021.

12001112201010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120011122010102 (a number of 27 digits) contains 22 as substring.

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, 165679231 + ... + 165751650.

It is an arithmetic number, because the mean of its divisors is an integer number (483226225956).

Almost surely, 212001112201010 is an apocalyptic number.

12001112201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001112201010 is an abundant number, since it is smaller than the sum of its proper divisors (18925366260174).

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

12001112201010 is a wasteful number, since it uses less digits than its factorization.

12001112201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331430979.

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

Adding to 12001112201010 its reverse (1010221110021), we get a palindrome (13011333311031).

The spelling of 12001112201010 in words is "twelve trillion, one billion, one hundred twelve million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 142 170 213 255 355 426 510 710 1065 1207 2130 2414 3621 6035 7242 12070 18105 36210 331430881 662861762 994292643 1657154405 1988585286 3314308810 4971463215 5634324977 9942926430 11268649954 16902974931 23531592551 28171624885 33805949862 47063185102 56343249770 70594777653 84514874655 117657962755 141189555306 169029749310 235315925510 352973888265 400037073367 705947776530 800074146734 1200111220101 2000185366835 2400222440202 4000370733670 6000556100505 12001112201010