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12233122125 = 353723533823
BaseRepresentation
bin10110110010010011…
…01010000101001101
31011120112202222210020
423121021222011031
5200023134402000
65341514132353
7612101552040
oct133111520515
934515688706
1012233122125
115208307794
122454a210b9
1311cc547c03
14840982c57
154b8e6dba0
hex2d926a14d

12233122125 has 128 divisors (see below), whose sum is σ = 24739872768. Its totient is φ = 5246841600.

The previous prime is 12233122087. The next prime is 12233122141. The reversal of 12233122125 is 52122133221.

It is not a de Polignac number, because 12233122125 - 26 = 12233122061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12233122095 and 12233122104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3197964 + ... + 3201786.

It is an arithmetic number, because the mean of its divisors is an integer number (193280256).

Almost surely, 212233122125 is an apocalyptic number.

12233122125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12233122125 is an abundant number, since it is smaller than the sum of its proper divisors (12506750643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233122125 is a wasteful number, since it uses less digits than its factorization.

12233122125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3914 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

Adding to 12233122125 its reverse (52122133221), we get a palindrome (64355255346).

The spelling of 12233122125 in words is "twelve billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 53 69 75 105 115 125 159 161 175 265 345 371 375 483 525 575 795 805 875 1113 1219 1325 1725 1855 2415 2625 2875 3657 3823 3975 4025 5565 6095 6625 8533 8625 9275 11469 12075 18285 19115 19875 20125 25599 26761 27825 30475 42665 46375 57345 60375 80283 87929 91425 95575 127995 133805 139125 152375 202619 213325 263787 286725 401415 439645 457125 477875 607857 615503 639975 669025 1013095 1066625 1318935 1418333 1433625 1846509 2007075 2198225 3039285 3077515 3199875 3345125 4254999 4660237 5065475 6594675 7091665 9232545 10035375 10991125 13980711 15196425 15387575 21274995 23301185 25327375 32621659 32973375 35458325 46162725 69903555 75982125 76937875 97864977 106374975 116505925 163108295 177291625 230813625 349517775 489324885 531874875 582529625 815541475 1747588875 2446624425 4077707375 12233122125