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120096126 = 232172691459
BaseRepresentation
bin1110010100010…
…00010101111110
322100222111220200
413022020111332
5221221034001
615530024330
72655541323
oct712102576
9270874820
10120096126
1161877aa7
12342780a6
131bb5b8c7
1411d42b4a
15a824086
hex728857e

120096126 has 48 divisors (see below), whose sum is σ = 276728400. Its totient is φ = 37511424.

The previous prime is 120096121. The next prime is 120096127. The reversal of 120096126 is 621690021.

It is a self number, because there is not a number n which added to its sum of digits gives 120096126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120096121) 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, 81585 + ... + 83043.

It is an arithmetic number, because the mean of its divisors is an integer number (5765175).

Almost surely, 2120096126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120096126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138364200).

120096126 is an abundant number, since it is smaller than the sum of its proper divisors (156632274).

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

120096126 is a wasteful number, since it uses less digits than its factorization.

120096126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120096126 is about 10958.8378033439. The cubic root of 120096126 is about 493.3740836601.

The spelling of 120096126 in words is "one hundred twenty million, ninety-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 269 306 538 807 1459 1614 2421 2918 4377 4573 4842 8754 9146 13131 13719 24803 26262 27438 41157 49606 74409 82314 148818 223227 392471 446454 784942 1177413 2354826 3532239 6672007 7064478 13344014 20016021 40032042 60048063 120096126