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12120434502 = 231110114912203
BaseRepresentation
bin10110100100110111…
…10010011101000110
31011021200201212102120
423102123302131012
5144310312401002
65322410550410
7606232664511
oct132233623506
934250655376
1012120434502
11515a73a920
122423138406
1311b20b1447
1482da0bd78
154ae10ecbc
hex2d26f2746

12120434502 has 64 divisors (see below), whose sum is σ = 26887852800. Its totient is φ = 3611792000.

The previous prime is 12120434489. The next prime is 12120434503. The reversal of 12120434502 is 20543402121.

12120434502 is a modest number, since divided by 434502 gives 1212 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120434503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987133 + ... + 999335.

It is an arithmetic number, because the mean of its divisors is an integer number (420122700).

Almost surely, 212120434502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120434502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443926400).

12120434502 is an abundant number, since it is smaller than the sum of its proper divisors (14767418298).

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

12120434502 is a wasteful number, since it uses less digits than its factorization.

12120434502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12120434502 its reverse (20543402121), we get a palindrome (32663836623).

The spelling of 12120434502 in words is "twelve billion, one hundred twenty million, four hundred thirty-four thousand, five hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 149 202 298 303 447 606 894 1111 1639 2222 3278 3333 4917 6666 9834 12203 15049 24406 30098 36609 45147 73218 90294 134233 165539 268466 331078 402699 496617 805398 993234 1232503 1818247 2465006 3636494 3697509 5454741 7395018 10909482 13557533 20000717 27115066 40001434 40672599 60002151 81345198 120004302 183642947 367285894 550928841 1101857682 2020072417 4040144834 6060217251 12120434502