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12021001321131 = 3311189472136209
BaseRepresentation
bin1010111011101101101110…
…0000110111101010101011
31120120012022020202202102000
42232323123200313222223
53033423002314234011
641322212145142043
72350326422212005
oct256733340675253
946505266682360
1012021001321131
11391509494a250
12142190102a923
13692763677b1a
142d7b68c77375
1515ca61a2e356
hexaeedb837aab

12021001321131 has 32 divisors (see below), whose sum is σ = 19428915398400. Its totient is φ = 7285067418240.

The previous prime is 12021001321111. The next prime is 12021001321207. The reversal of 12021001321131 is 13112310012021.

12021001321131 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 0 + 1 + 321 + 131 = 666.

It is not a de Polignac number, because 12021001321131 - 25 = 12021001321099 is a prime.

It is a super-2 number, since 2×120210013211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12021001321111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4559155 + ... + 6695363.

It is an arithmetic number, because the mean of its divisors is an integer number (607153606200).

Almost surely, 212021001321131 is an apocalyptic number.

12021001321131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12021001321131 is a deficient number, since it is larger than the sum of its proper divisors (7407914077269).

12021001321131 is a wasteful number, since it uses less digits than its factorization.

12021001321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155176 (or 2155170 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12021001321131 its reverse (13112310012021), we get a palindrome (25133311333152).

The spelling of 12021001321131 in words is "twelve trillion, twenty-one billion, one million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 18947 56841 170523 208417 511569 625251 1875753 2136209 5627259 6408627 19225881 23498299 57677643 70494897 211484691 634454073 40474751923 121424255769 364272767307 445222271153 1092818301921 1335666813459 4007000440377 12021001321131