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125042112 = 26321316699
BaseRepresentation
bin1110111001111…
…11110111000000
322201021210112100
413130333313000
5224002321422
620224030400
73045561156
oct734776700
9281253470
10125042112
1164645a98
1235a62400
131cba0c20
141286d3d6
15ae9e7ac
hex773fdc0

125042112 has 84 divisors (see below), whose sum is σ = 386003800. Its totient is φ = 38472192.

The previous prime is 125042107. The next prime is 125042117. The reversal of 125042112 is 211240521.

It is an interprime number because it is at equal distance from previous prime (125042107) and next prime (125042117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125042117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862 + ... + 15837.

Almost surely, 2125042112 is an apocalyptic number.

125042112 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 125042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193001900).

125042112 is an abundant number, since it is smaller than the sum of its proper divisors (260961688).

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

125042112 is a wasteful number, since it uses less digits than its factorization.

125042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16730 (or 16717 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125042112 is about 11182.2230347995. The cubic root of 125042112 is about 500.0561430290.

Adding to 125042112 its reverse (211240521), we get a palindrome (336282633).

The spelling of 125042112 in words is "one hundred twenty-five million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 16699 33398 50097 66796 100194 133592 150291 200388 217087 267184 300582 400776 434174 534368 601164 651261 801552 868348 1068736 1202328 1302522 1603104 1736696 1953783 2404656 2605044 3206208 3473392 3907566 4809312 5210088 6946784 7815132 9618624 10420176 13893568 15630264 20840352 31260528 41680704 62521056 125042112