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12102101133123 = 3193161179627251
BaseRepresentation
bin1011000000011011110101…
…1100000110011101000011
31120211221122020101001211110
42300012331130012131003
53041240100342224443
641423343431414403
72356230230224401
oct260067534063503
946757566331743
1012102101133123
113946521652361
121435575224403
1369a2b95c5b61
142dba5db02471
1515ec0b848233
hexb01bd706743

12102101133123 has 64 divisors (see below), whose sum is σ = 17920338739200. Its totient is φ = 7234952400000.

The previous prime is 12102101133103. The next prime is 12102101133131. The reversal of 12102101133123 is 32133110120121.

It is not a de Polignac number, because 12102101133123 - 214 = 12102101116739 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12102101133123.

It is not an unprimeable number, because it can be changed into a prime (12102101133103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18980248 + ... + 19607498.

It is an arithmetic number, because the mean of its divisors is an integer number (280005292800).

Almost surely, 212102101133123 is an apocalyptic number.

12102101133123 is a deficient number, since it is larger than the sum of its proper divisors (5818237606077).

12102101133123 is a wasteful number, since it uses less digits than its factorization.

12102101133123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627544.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12102101133123 its reverse (32133110120121), we get a palindrome (44235211253244).

The spelling of 12102101133123 in words is "twelve trillion, one hundred two billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 19 31 57 61 93 179 183 537 589 1159 1767 1891 3401 3477 5549 5673 10203 10919 16647 32757 35929 105431 107787 207461 316293 338489 622383 627251 1015467 1881753 6431291 11917769 19293873 19444781 35753307 38262311 58334343 112277929 114786933 336833787 369450839 726983909 1108352517 1186131641 2133280651 2180951727 3480615799 3558394923 6399841953 6848953669 10441847397 20546861007 22536501179 66131700181 67609503537 130130119711 198395100543 212317563739 390390359133 636952691217 4034033711041 12102101133123