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12125652121 = 1121572512543
BaseRepresentation
bin10110100101011111…
…01100010010011001
31011022001112221122201
423102233230102121
5144313131331441
65323114450201
7606325225312
oct132257542231
934261487581
1012125652121
115162683a00
122424a33961
1311b31ba2ab
148305a9609
154ae7e0c31
hex2d2bec499

12125652121 has 24 divisors (see below), whose sum is σ = 13471823232. Its totient is φ = 10905180000.

The previous prime is 12125652089. The next prime is 12125652127.

12125652121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12125652121 - 25 = 12125652089 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12125652121.

It is not an unprimeable number, because it can be changed into a prime (12125652127) 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, 4766976 + ... + 4769518.

It is an arithmetic number, because the mean of its divisors is an integer number (561325968).

Almost surely, 212125652121 is an apocalyptic number.

12125652121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12125652121 is a deficient number, since it is larger than the sum of its proper divisors (1346171111).

12125652121 is a wasteful number, since it uses less digits than its factorization.

12125652121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2962 counting only the distinct ones).

The product of its digits is 2400, while the sum is 28.

The spelling of 12125652121 in words is "twelve billion, one hundred twenty-five million, six hundred fifty-two thousand, one hundred twenty-one".

Divisors: 1 11 121 157 251 1727 2543 2761 18997 27973 30371 39407 307703 399251 433477 638293 4391761 4768247 7021223 48309371 77233453 100212001 1102332011 12125652121