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12001220201010 = 2353783991131447
BaseRepresentation
bin1010111010100100000001…
…1101111000101000110010
31120111022020200002201220110
42232221000131320220302
53033111444332413020
641305141235122150
72346026265364605
oct256510035705062
946438220081813
1012001220201010
113907763a28997
121419b00443356
13690930437b11
142d6c0da8a33c
1515c2a50eb8e0
hexaea40778a32

12001220201010 has 128 divisors (see below), whose sum is σ = 29968225910784. Its totient is φ = 3073186448640.

The previous prime is 12001220200993. The next prime is 12001220201011. The reversal of 12001220201010 is 1010202210021.

It is not an unprimeable number, because it can be changed into a prime (12001220201011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91235107 + ... + 91366553.

It is an arithmetic number, because the mean of its divisors is an integer number (234126764928).

Almost surely, 212001220201010 is an apocalyptic number.

12001220201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001220201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984112955392).

12001220201010 is an abundant number, since it is smaller than the sum of its proper divisors (17967005709774).

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

12001220201010 is a wasteful number, since it uses less digits than its factorization.

12001220201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132568.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001220201010 its reverse (1010202210021), we get a palindrome (13011422411031).

The spelling of 12001220201010 in words is "twelve trillion, one billion, two hundred twenty million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 83 111 166 185 222 249 370 415 498 555 830 991 1110 1245 1982 2490 2973 3071 4955 5946 6142 9213 9910 14865 15355 18426 29730 30710 36667 46065 73334 82253 92130 110001 131447 164506 183335 220002 246759 262894 366670 394341 411265 493518 550005 657235 788682 822530 1100010 1233795 1314470 1971705 2467590 3043361 3943410 4863539 6086722 9130083 9727078 10910101 14590617 15216805 18260166 21820202 24317695 29181234 30433610 32730303 45650415 48635390 54550505 65460606 72953085 91300830 109101010 130263977 145906170 163651515 260527954 327303030 390791931 403673737 651319885 781583862 807347474 1211021211 1302639770 1953959655 2018368685 2422042422 3907919310 4036737370 4819767149 6055106055 9639534298 10811910091 12110212110 14459301447 21623820182 24098835745 28918602894 32435730273 48197671490 54059550455 64871460546 72296507235 108119100910 144593014470 162178651365 324357302730 400040673367 800081346734 1200122020101 2000203366835 2400244040202 4000406733670 6000610100505 12001220201010