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12123123201 = 337127505067
BaseRepresentation
bin10110100101001100…
…00010111000000001
31011021212210110122000
423102212002320001
5144312004420301
65322544334213
7606264563340
oct132246027001
934255713560
1012123123201
115161206992
122424014369
1311b28131a7
1483010bb57
154ae491786
hex2d2982e01

12123123201 has 32 divisors (see below), whose sum is σ = 20687585280. Its totient is φ = 6872938128.

The previous prime is 12123123197. The next prime is 12123123211. The reversal of 12123123201 is 10232132121.

It is not a de Polignac number, because 12123123201 - 22 = 12123123197 is a prime.

It is a super-2 number, since 2×121231232012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12123123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228531 + ... + 276536.

It is an arithmetic number, because the mean of its divisors is an integer number (646487040).

Almost surely, 212123123201 is an apocalyptic number.

It is an amenable number.

12123123201 is a deficient number, since it is larger than the sum of its proper divisors (8564462079).

12123123201 is a wasteful number, since it uses less digits than its factorization.

12123123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505210 (or 505204 counting only the distinct ones).

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

Adding to 12123123201 its reverse (10232132121), we get a palindrome (22355255322).

The spelling of 12123123201 in words is "twelve billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 127 189 381 889 1143 2667 3429 8001 24003 505067 1515201 3535469 4545603 10606407 13636809 31819221 64143509 95457663 192430527 449004563 577291581 1347013689 1731874743 4041041067 12123123201