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12002220210 = 2353713078273
BaseRepresentation
bin10110010110110001…
…10101100010110010
31010222110021221220110
423023120311202302
5144040032021320
65302545122150
7603266121441
oct131330654262
933873257813
1012002220210
1150a9a38762
1223ab629356
131193761266
1481c038d58
154a3a5d5e0
hex2cb6358b2

12002220210 has 64 divisors (see below), whose sum is σ = 29610064512. Its totient is φ = 3111330816.

The previous prime is 12002220119. The next prime is 12002220253. The reversal of 12002220210 is 1202220021.

12002220210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 1446634 + ... + 1454906.

It is an arithmetic number, because the mean of its divisors is an integer number (462657258).

Almost surely, 212002220210 is an apocalyptic number.

12002220210 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 12002220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805032256).

12002220210 is an abundant number, since it is smaller than the sum of its proper divisors (17607844302).

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

12002220210 is a wasteful number, since it uses less digits than its factorization.

12002220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002220210 its reverse (1202220021), we get a palindrome (13204440231).

The spelling of 12002220210 in words is "twelve billion, two million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1307 2614 3921 6535 7842 8273 13070 16546 19605 24819 39210 41365 48359 49638 82730 96718 124095 145077 241795 248190 290154 306101 483590 612202 725385 918303 1450770 1530505 1836606 3061010 4591515 9183030 10812811 21625622 32438433 54064055 64876866 108128110 162192165 324384330 400074007 800148014 1200222021 2000370035 2400444042 4000740070 6001110105 12002220210