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12021201011120 = 2457259251207079
BaseRepresentation
bin1010111011101110011101…
…1010101000000110110000
31120120012211011112001120112
42232323213122220012300
53033423404424323440
641322244041200452
72350334365435400
oct256734732500660
946505734461515
1012021201011120
1139151876402a4
121421957a90128
13692795b53c92
142d7b875b8800
1515ca74326965
hexaeee76a81b0

12021201011120 has 240 divisors, whose sum is σ = 33195387859200. Its totient is φ = 4035536064000.

The previous prime is 12021201011081. The next prime is 12021201011137. The reversal of 12021201011120 is 2111010212021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12021201011095 and 12021201011104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57947741 + ... + 58154819.

It is an arithmetic number, because the mean of its divisors is an integer number (138314116080).

Almost surely, 212021201011120 is an apocalyptic number.

12021201011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021201011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597693929600).

12021201011120 is an abundant number, since it is smaller than the sum of its proper divisors (21174186848080).

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

12021201011120 is a wasteful number, since it uses less digits than its factorization.

12021201011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207416 (or 207403 counting only the distinct ones).

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

Adding to 12021201011120 its reverse (2111010212021), we get a palindrome (14132211223141).

The spelling of 12021201011120 in words is "twelve trillion, twenty-one billion, two hundred one million, eleven thousand, one hundred twenty".