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12011332301000 = 235383144714847
BaseRepresentation
bin1010111011001001101100…
…1100011111000011001000
31120112021100101210122022022
42232302123030133003020
53033243202032113000
641313532504344012
72346535003665644
oct256623314370310
946467311718268
1012011332301000
113910a82a4931a
12141ba62a75008
13691882414436
142d74cca6dc24
1515c697c4e585
hexaec9b31f0c8

12011332301000 has 64 divisors (see below), whose sum is σ = 28445150522880. Its totient is φ = 4746646948800.

The previous prime is 12011332300949. The next prime is 12011332301029. The reversal of 12011332301000 is 10323311021.

12011332301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12011332301000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72274424 + ... + 72440423.

It is an arithmetic number, because the mean of its divisors is an integer number (444455476920).

Almost surely, 212011332301000 is an apocalyptic number.

12011332301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011332301000 is an abundant number, since it is smaller than the sum of its proper divisors (16433818221880).

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

12011332301000 is a wasteful number, since it uses less digits than its factorization.

12011332301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144714951 (or 144714937 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12011332301000 its reverse (10323311021), we get a palindrome (12021655612021).

The spelling of 12011332301000 in words is "twelve trillion, eleven billion, three hundred thirty-two million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 8300 10375 16600 20750 41500 83000 144714847 289429694 578859388 723574235 1157718776 1447148470 2894296940 3617871175 5788593880 7235742350 12011332301 14471484700 18089355875 24022664602 28942969400 36178711750 48045329204 60056661505 72357423500 96090658408 120113323010 144714847000 240226646020 300283307525 480453292040 600566615050 1201133230100 1501416537625 2402266460200 3002833075250 6005666150500 12011332301000