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12123000312021 = 3217254857310901
BaseRepresentation
bin1011000001101001101100…
…1000001001000011010101
31120220221120201212100122100
42300122123020021003111
53042110401034441041
641441121321352313
72360600151300204
oct260323310110325
946827521770570
1012123000312021
1139543766a2835
121439628338699
1369c26a36a4c1
142dca835ad23b
151605314cc6b6
hexb069b2090d5

12123000312021 has 24 divisors (see below), whose sum is σ = 18541191688344. Its totient is φ = 7606534118400.

The previous prime is 12123000311963. The next prime is 12123000312083. The reversal of 12123000312021 is 12021300032121.

12123000312021 is a `hidden beast` number, since 121 + 230 + 0 + 0 + 312 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7791835800996 + 4331164511025 = 2791386^2 + 2081145^2 .

It is not a de Polignac number, because 12123000312021 - 27 = 12123000311893 is a prime.

It is a super-2 number, since 2×121230003120212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12123000311985 and 12123000312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123000312121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38837671 + ... + 39148571.

It is an arithmetic number, because the mean of its divisors is an integer number (772549653681).

Almost surely, 212123000312021 is an apocalyptic number.

It is an amenable number.

12123000312021 is a deficient number, since it is larger than the sum of its proper divisors (6418191376323).

12123000312021 is a wasteful number, since it uses less digits than its factorization.

12123000312021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565781 (or 565778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12123000312021 its reverse (12021300032121), we get a palindrome (24144300344142).

The spelling of 12123000312021 in words is "twelve trillion, one hundred twenty-three billion, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 17 51 153 254857 310901 764571 932703 2293713 2798109 4332569 5285317 12997707 15855951 38993121 47567853 79235296157 237705888471 713117665413 1347000034669 4041000104007 12123000312021