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12011200001220 = 22357376047127819
BaseRepresentation
bin1010111011001001001101…
…0011110011010011000100
31120112021000011212010010110
42232302103103303103010
53033242414200014340
641313511420553020
72346531506316210
oct256622323632304
946467004763113
1012011200001220
113910a152a6562
12141ba266b2770
13691860ba1c44
142d74b9271940
1515c68b319680
hexaec934f34c4

12011200001220 has 192 divisors, whose sum is σ = 39481483345920. Its totient is φ = 2670754042368.

The previous prime is 12011200001159. The next prime is 12011200001263. The reversal of 12011200001220 is 2210000211021.

12011200001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12011200001196 and 12011200001205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93906471 + ... + 94034289.

It is an arithmetic number, because the mean of its divisors is an integer number (205632725760).

Almost surely, 212011200001220 is an apocalyptic number.

12011200001220 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 12011200001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19740741672960).

12011200001220 is an abundant number, since it is smaller than the sum of its proper divisors (27470283344700).

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

12011200001220 is a wasteful number, since it uses less digits than its factorization.

12011200001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133922 (or 133920 counting only the distinct ones).

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

Adding to 12011200001220 its reverse (2210000211021), we get a palindrome (14221200212241).

The spelling of 12011200001220 in words is "twelve trillion, eleven billion, two hundred million, one thousand, two hundred twenty".