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12021120012100 = 2252892311347191
BaseRepresentation
bin1010111011101110001010…
…0101101000111101000100
31120120012121112002212210211
42232323202211220331010
53033423223210341400
641322232025125204
72350332363111553
oct256734245507504
946505545085724
1012021120012100
113915145947561
121421934929804
13692782133c74
142d7b7a931d9a
1515ca6c176dba
hexaeee2968f44

12021120012100 has 36 divisors (see below), whose sum is σ = 26086142130048. Its totient is φ = 4808390548000.

The previous prime is 12021120012061. The next prime is 12021120012101. The reversal of 12021120012100 is 121002112021.

It is a super-2 number, since 2×120211200121002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12021120012101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8249505 + ... + 9596695.

It is an arithmetic number, because the mean of its divisors is an integer number (724615059168).

Almost surely, 212021120012100 is an apocalyptic number.

12021120012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021120012100 is an abundant number, since it is smaller than the sum of its proper divisors (14065022117948).

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

12021120012100 is a wasteful number, since it uses less digits than its factorization.

12021120012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436436 (or 1436429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021120012100 its reverse (121002112021), we get a palindrome (12142122124121).

The spelling of 12021120012100 in words is "twelve trillion, twenty-one billion, one hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 89231 178462 356924 446155 892310 1347191 1784620 2230775 2694382 4461550 5388764 6735955 8923100 13471910 26943820 33679775 67359550 134719100 120211200121 240422400242 480844800484 601056000605 1202112001210 2404224002420 3005280003025 6010560006050 12021120012100