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12101031221123 = 138360142194423
BaseRepresentation
bin1011000000010111110110…
…1010101101011110000011
31120211211212200010220111002
42300011331222231132003
53041230402443033443
641423045331442215
72356161556144415
oct260057552553603
946754780126432
1012101031221123
113946022718669
121435316a5636b
1369a178a4b230
142db99b9969b5
1515eb979572b8
hexb017daad783

12101031221123 has 32 divisors (see below), whose sum is σ = 13216954114560. Its totient is φ = 11012138438400.

The previous prime is 12101031221093. The next prime is 12101031221131. The reversal of 12101031221123 is 32112213010121.

It is a cyclic number.

It is not a de Polignac number, because 12101031221123 - 220 = 12101030172547 is a prime.

It is a super-2 number, since 2×121010312211232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101031221095 and 12101031221104.

It is not an unprimeable number, because it can be changed into a prime (12101031227123) 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 31 ways as a sum of consecutive naturals, for example, 2735930690 + ... + 2735935112.

It is an arithmetic number, because the mean of its divisors is an integer number (413029816080).

Almost surely, 212101031221123 is an apocalyptic number.

12101031221123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12101031221123 is a deficient number, since it is larger than the sum of its proper divisors (1115922893437).

12101031221123 is a wasteful number, since it uses less digits than its factorization.

12101031221123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12101031221123 its reverse (32112213010121), we get a palindrome (44213244231244).

The spelling of 12101031221123 in words is "twelve trillion, one hundred one billion, thirty-one million, two hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 13 83 601 1079 4219 4423 7813 49883 54847 57499 350177 367109 648479 2535619 2658223 4552301 4772417 18660637 32963047 34556899 210456377 220632509 242588281 1548832871 2735932901 2868222617 11215042837 20134827323 145795556881 930848555471 12101031221123