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12100426125 = 353476710247
BaseRepresentation
bin10110100010011110…
…11101100110001101
31011020022002100002120
423101033131212031
5144240202114000
65320414043153
7605600632164
oct132117354615
934208070076
1012100426125
11514a414277
1224184a94b9
1311aabc7278
1482b0c03db
154ac4ab6a0
hex2d13dd98d

12100426125 has 64 divisors (see below), whose sum is σ = 20872470528. Its totient is φ = 6221371200.

The previous prime is 12100426111. The next prime is 12100426139. The reversal of 12100426125 is 52162400121.

It is an interprime number because it is at equal distance from previous prime (12100426111) and next prime (12100426139).

It is not a de Polignac number, because 12100426125 - 222 = 12096231821 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12100426095 and 12100426104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175752 + ... + 1185998.

It is an arithmetic number, because the mean of its divisors is an integer number (326132352).

Almost surely, 212100426125 is an apocalyptic number.

12100426125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12100426125 is a deficient number, since it is larger than the sum of its proper divisors (8772044403).

12100426125 is a wasteful number, since it uses less digits than its factorization.

12100426125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12100426125 its reverse (52162400121), we get a palindrome (64262826246).

The spelling of 12100426125 in words is "twelve billion, one hundred million, four hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 47 67 75 125 141 201 235 335 375 705 1005 1175 1675 3149 3525 5025 5875 8375 9447 10247 15745 17625 25125 30741 47235 51235 78725 153705 236175 256175 393625 481609 686549 768525 1180875 1280875 1444827 2059647 2408045 3432745 3842625 7224135 10298235 12040225 17163725 32267803 36120675 51491175 60201125 85818625 96803409 161339015 180603375 257455875 484017045 806695075 2420085225 4033475375 12100426125