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12120302010 = 2353767162973
BaseRepresentation
bin10110100100110110…
…10010000110111010
31011021200111010200110
423102123102012322
5144310244131020
65322404045150
7606231603315
oct132233220672
934250433613
1012120302010
11515a65a323
1224230937b6
1311b206604b
1482d9b597c
154ae0d58e0
hex2d26d21ba

12120302010 has 64 divisors (see below), whose sum is σ = 30320986752. Its totient is φ = 3097771776.

The previous prime is 12120301981. The next prime is 12120302017. The reversal of 12120302010 is 1020302121.

12120302010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121203020102 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12120302017) 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 31 ways as a sum of consecutive naturals, for example, 7117 + ... + 155856.

It is an arithmetic number, because the mean of its divisors is an integer number (473765418).

Almost surely, 212120302010 is an apocalyptic number.

12120302010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120302010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160493376).

12120302010 is an abundant number, since it is smaller than the sum of its proper divisors (18200684742).

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

12120302010 is a wasteful number, since it uses less digits than its factorization.

12120302010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163087.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12120302010 its reverse (1020302121), we get a palindrome (13140604131).

The spelling of 12120302010 in words is "twelve billion, one hundred twenty million, three hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 1005 1110 2010 2479 4958 7437 12395 14874 24790 37185 74370 162973 325946 488919 814865 977838 1629730 2444595 4889190 6030001 10919191 12060002 18090003 21838382 30150005 32757573 36180006 54595955 60300010 65515146 90450015 109191910 163787865 180900030 327575730 404010067 808020134 1212030201 2020050335 2424060402 4040100670 6060151005 12120302010