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125412354412256 = 25171912133548221
BaseRepresentation
bin11100100000111111010110…
…110101011100111011100000
3121110001022012121110200220202
4130200333112311130323200
5112414224000212143011
61122421350143324332
735262513024466052
oct3440772665347340
9543038177420822
10125412354412256
1136a6209863292a
12120959078b06a8
1354c9446533382
1422d7dc16d18d2
15e773e319c23b
hex720fd6d5cee0

125412354412256 has 48 divisors (see below), whose sum is σ = 275188873674960. Its totient is φ = 55911390197760.

The previous prime is 125412354412231. The next prime is 125412354412259. The reversal of 125412354412256 is 652214453214521.

125412354412256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 125412354412256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125412354412259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6066763775 + ... + 6066784446.

It is an arithmetic number, because the mean of its divisors is an integer number (5733101534895).

Almost surely, 2125412354412256 is an apocalyptic number.

125412354412256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125412354412256 is an abundant number, since it is smaller than the sum of its proper divisors (149776519262704).

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

125412354412256 is a wasteful number, since it uses less digits than its factorization.

125412354412256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133548267 (or 12133548259 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 47.

The spelling of 125412354412256 in words is "one hundred twenty-five trillion, four hundred twelve billion, three hundred fifty-four million, four hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 12133548221 24267096442 48534192884 97068385768 194136771536 206270319757 230537416199 388273543072 412540639514 461074832398 825081279028 922149664796 1650162558056 1844299329592 3300325116112 3688598659184 3919136075383 6600650232224 7377197318368 7838272150766 15676544301532 31353088603064 62706177206128 125412354412256