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126225012 = 22323538629
BaseRepresentation
bin1111000011000…
…00101001110100
322210111220011110
413201200221310
5224303200022
620305235020
73061615644
oct741405164
9283456143
10126225012
11652837a1
1236332a70
13201c6474
1412a9a524
15b13500c
hex7860a74

126225012 has 48 divisors (see below), whose sum is σ = 313165440. Its totient is φ = 39481728.

The previous prime is 126224981. The next prime is 126225041. The reversal of 126225012 is 210522621.

It is a happy number.

It is a super-3 number, since 3×1262250123 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126225012.

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, 10314 + ... + 18942.

It is an arithmetic number, because the mean of its divisors is an integer number (6524280).

Almost surely, 2126225012 is an apocalyptic number.

126225012 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 126225012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156582720).

126225012 is an abundant number, since it is smaller than the sum of its proper divisors (186940428).

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

126225012 is a wasteful number, since it uses less digits than its factorization.

126225012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8712 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 126225012 is about 11234.9905206903. The cubic root of 126225012 is about 501.6280425348.

Adding to 126225012 its reverse (210522621), we get a palindrome (336747633).

The spelling of 126225012 in words is "one hundred twenty-six million, two hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1219 2438 3657 4876 7314 8629 14628 17258 25887 34516 51774 103548 198467 396934 457337 595401 793868 914674 1190802 1372011 1829348 2381604 2744022 5488044 10518751 21037502 31556253 42075004 63112506 126225012