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12000211020120 = 2335379972631833
BaseRepresentation
bin1010111010100000010001…
…0100001010100101011000
31120111012122100011000222110
42232220010110022211120
53033102413010120440
641304453144552320
72345662262445351
oct256500424124530
946435570130873
1012000211020120
1139072963043a4
12141987a4826a0
136907cc334b6b
142d6b55a2cd28
1515c246705080
hexaea0450a958

12000211020120 has 64 divisors (see below), whose sum is σ = 36001594199520. Its totient is φ = 3199970837504.

The previous prime is 12000211020107. The next prime is 12000211020151. The reversal of 12000211020120 is 2102011200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12000211020096 and 12000211020105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3243724 + ... + 5875556.

Almost surely, 212000211020120 is an apocalyptic number.

12000211020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000211020120 is an abundant number, since it is smaller than the sum of its proper divisors (24001383179400).

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

12000211020120 is a wasteful number, since it uses less digits than its factorization.

12000211020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669844 (or 2669840 counting only the distinct ones).

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

Adding to 12000211020120 its reverse (2102011200021), we get a palindrome (14102222220141).

The spelling of 12000211020120 in words is "twelve trillion, two hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 37997 75994 113991 151988 189985 227982 303976 379970 455964 569955 759940 911928 1139910 1519880 2279820 2631833 4559640 5263666 7895499 10527332 13159165 15790998 21054664 26318330 31581996 39477495 52636660 63163992 78954990 105273320 157909980 315819960 100001758501 200003517002 300005275503 400007034004 500008792505 600010551006 800014068008 1000017585010 1200021102012 1500026377515 2000035170020 2400042204024 3000052755030 4000070340040 6000105510060 12000211020120