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126112206 = 231137431201
BaseRepresentation
bin1111000010001…
…01000111001110
322210022011102110
413201011013032
5224241042311
620303004450
73060636033
oct741050716
9283264373
10126112206
1165206a70
1236299726
132018700c
1412a6b38a
15b1118a6
hex78451ce

126112206 has 64 divisors (see below), whose sum is σ = 289403136. Its totient is φ = 36288000.

The previous prime is 126112127. The next prime is 126112219. The reversal of 126112206 is 602211621.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104406 + ... + 105606.

It is an arithmetic number, because the mean of its divisors is an integer number (4521924).

Almost surely, 2126112206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126112206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144701568).

126112206 is an abundant number, since it is smaller than the sum of its proper divisors (163290930).

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

126112206 is a wasteful number, since it uses less digits than its factorization.

126112206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 126112206 is about 11229.9691005808. The cubic root of 126112206 is about 501.4785647163.

Adding to 126112206 its reverse (602211621), we get a palindrome (728323827).

The spelling of 126112206 in words is "one hundred twenty-six million, one hundred twelve thousand, two hundred six".

Divisors: 1 2 3 6 11 22 33 37 43 66 74 86 111 129 222 258 407 473 814 946 1201 1221 1419 1591 2402 2442 2838 3182 3603 4773 7206 9546 13211 17501 26422 35002 39633 44437 51643 52503 79266 88874 103286 105006 133311 154929 266622 309858 488807 568073 977614 1136146 1466421 1704219 1910791 2932842 3408438 3821582 5732373 11464746 21018701 42037402 63056103 126112206