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125104556112 = 24317883173629
BaseRepresentation
bin111010010000011010…
…0000000100001010000
3102221220202021221002020
41310200310000201100
54022203231243422
6133250000451440
712016131116124
oct1644064004120
9387822257066
10125104556112
1149069295738
12202b5319b80
13ba498c3483
1460ab263584
1533c31b195c
hex1d20d00850

125104556112 has 80 divisors (see below), whose sum is σ = 342587269440. Its totient is φ = 39203813376.

The previous prime is 125104556081. The next prime is 125104556201. The reversal of 125104556112 is 211655401521.

It is a happy number.

It is a super-2 number, since 2×1251045561122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633714 + ... + 807342.

It is an arithmetic number, because the mean of its divisors is an integer number (4282340868).

Almost surely, 2125104556112 is an apocalyptic number.

125104556112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125104556112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171293634720).

125104556112 is an abundant number, since it is smaller than the sum of its proper divisors (217482713328).

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

125104556112 is a wasteful number, since it uses less digits than its factorization.

125104556112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174540 (or 174534 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 125104556112 its reverse (211655401521), we get a palindrome (336759957633).

The spelling of 125104556112 in words is "one hundred twenty-five billion, one hundred four million, five hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 883 1766 2649 3532 5298 7064 10596 14128 15011 21192 30022 42384 45033 60044 90066 120088 173629 180132 240176 347258 360264 520887 694516 720528 1041774 1389032 2083548 2778064 2951693 4167096 5903386 8334192 8855079 11806772 17710158 23613544 35420316 47227088 70840632 141681264 153314407 306628814 459943221 613257628 919886442 1226515256 1839772884 2453030512 2606344919 3679545768 5212689838 7359091536 7819034757 10425379676 15638069514 20850759352 31276139028 41701518704 62552278056 125104556112