Search a number
-
+
126102012 = 22319797001
BaseRepresentation
bin1111000010000…
…10100111111100
322210021122102220
413201002213330
5224240231022
620302445340
73060564231
oct741024774
9283248386
10126102012
11651aa343
1236293850
132018249a
1412a67788
15b10d85c
hex78429fc

126102012 has 48 divisors (see below), whose sum is σ = 313689600. Its totient is φ = 39312000.

The previous prime is 126102001. The next prime is 126102023. The reversal of 126102012 is 210201621.

It is an interprime number because it is at equal distance from previous prime (126102001) and next prime (126102023).

It is a junction number, because it is equal to n+sod(n) for n = 126101982 and 126102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14512 + ... + 21512.

It is an arithmetic number, because the mean of its divisors is an integer number (6535200).

Almost surely, 2126102012 is an apocalyptic number.

126102012 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 126102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156844800).

126102012 is an abundant number, since it is smaller than the sum of its proper divisors (187587588).

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

126102012 is a wasteful number, since it uses less digits than its factorization.

126102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7106 (or 7104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 126102012 is about 11229.5152166066. The cubic root of 126102012 is about 501.4650523836.

Adding to 126102012 its reverse (210201621), we get a palindrome (336303633).

The spelling of 126102012 in words is "one hundred twenty-six million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 948 1501 3002 4503 6004 7001 9006 14002 18012 21003 28004 42006 84012 133019 266038 399057 532076 553079 798114 1106158 1596228 1659237 2212316 3318474 6636948 10508501 21017002 31525503 42034004 63051006 126102012