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125203034412 = 223253205331963
BaseRepresentation
bin111010010011010101…
…1101011000100101100
3102222011121121010220200
41310212223223010230
54022403434100122
6133303435313500
712021435142641
oct1644653530454
9388147533820
10125203034412
1149109937965
12203222ab890
13ba64123461
1460ba379dc8
1533cbb655ac
hex1d26aeb12c

125203034412 has 72 divisors (see below), whose sum is σ = 322624031184. Its totient is φ = 40925678976.

The previous prime is 125203034399. The next prime is 125203034431. The reversal of 125203034412 is 214430302521.

125203034412 is a `hidden beast` number, since 12 + 5 + 203 + 0 + 3 + 441 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 3901143 + ... + 3933105.

It is an arithmetic number, because the mean of its divisors is an integer number (4480889322).

Almost surely, 2125203034412 is an apocalyptic number.

125203034412 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 125203034412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161312015592).

125203034412 is an abundant number, since it is smaller than the sum of its proper divisors (197420996772).

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

125203034412 is a wasteful number, since it uses less digits than its factorization.

125203034412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34079 (or 34074 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 125203034412 its reverse (214430302521), we get a palindrome (339633336933).

The spelling of 125203034412 in words is "one hundred twenty-five billion, two hundred three million, thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2053 4106 6159 8212 12318 18477 24636 31963 36954 63926 73908 95889 108809 127852 191778 217618 287667 326427 383556 435236 575334 652854 979281 1150668 1305708 1694039 1958562 3388078 3917124 5082117 6776156 10164234 15246351 20328468 30492702 60985404 65620039 131240078 196860117 262480156 393720234 590580351 787440468 1181160702 2362321404 3477862067 6955724134 10433586201 13911448268 20867172402 31300758603 41734344804 62601517206 125203034412