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12100121122023 = 341113580382853
BaseRepresentation
bin1011000000010100011101…
…1010111101010011100111
31120211202112020122002020000
42300011013122331103213
53041222022001401043
641422415141112343
72356130165344314
oct260050732752347
946752466562200
1012100121122023
1139456a5a18750
1214351020b86b3
1369a062329b5c
142db912b6bd0b
1515eb42ad32d3
hexb01476bd4e7

12100121122023 has 20 divisors (see below), whose sum is σ = 19718715904008. Its totient is φ = 7333406740080.

The previous prime is 12100121122013. The next prime is 12100121122069. The reversal of 12100121122023 is 32022112100121.

12100121122023 is a `hidden beast` number, since 1 + 210 + 0 + 1 + 211 + 220 + 23 = 666.

It is not a de Polignac number, because 12100121122023 - 29 = 12100121121511 is a prime.

It is a super-3 number, since 3×121001211220233 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12100121121987 and 12100121122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100121122013) 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 19 ways as a sum of consecutive naturals, for example, 6790190536 + ... + 6790192317.

Almost surely, 212100121122023 is an apocalyptic number.

12100121122023 is a deficient number, since it is larger than the sum of its proper divisors (7618594781985).

12100121122023 is a wasteful number, since it uses less digits than its factorization.

12100121122023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13580382876 (or 13580382867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12100121122023 its reverse (32022112100121), we get a palindrome (44122233222144).

The spelling of 12100121122023 in words is "twelve trillion, one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty-three".

Divisors: 1 3 9 11 27 33 81 99 297 891 13580382853 40741148559 122223445677 149384211383 366670337031 448152634149 1100011011093 1344457902447 4033373707341 12100121122023