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12001211112020 = 2251352378813921
BaseRepresentation
bin1010111010100011111111…
…1011001101101001010100
31120111022020000222222011012
42232220333323031221110
53033111440021041040
641305140312231352
72346026125211234
oct256507773155124
946438200888135
1012001211112020
113907759890229
121419ab939b558
1369092b5a4b10
142d6c0c7a1cc4
1515c2a4403865
hexaea3fecda54

12001211112020 has 48 divisors (see below), whose sum is σ = 27146386180368. Its totient is φ = 4430369771520.

The previous prime is 12001211111983. The next prime is 12001211112041. The reversal of 12001211112020 is 2021111210021.

It can be written as a sum of positive squares in 8 ways, for example, as 272956092304 + 11728255019716 = 522452^2 + 3424654^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12001211111986 and 12001211112004.

It is a congruent number.

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, 3045341 + ... + 5768580.

It is an arithmetic number, because the mean of its divisors is an integer number (565549712091).

Almost surely, 212001211112020 is an apocalyptic number.

12001211112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001211112020 is an abundant number, since it is smaller than the sum of its proper divisors (15145175068348).

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

12001211112020 is a wasteful number, since it uses less digits than its factorization.

12001211112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819180 (or 8819178 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12001211112020 its reverse (2021111210021), we get a palindrome (14022322322041).

The spelling of 12001211112020 in words is "twelve trillion, one billion, two hundred eleven million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5237 10474 20948 26185 52370 68081 104740 136162 272324 340405 680810 1361620 8813921 17627842 35255684 44069605 88139210 114580973 176278420 229161946 458323892 572904865 1145809730 2291619460 46158504277 92317008554 184634017108 230792521385 461585042770 600060555601 923170085540 1200121111202 2400242222404 3000302778005 6000605556010 12001211112020