Search a number
-
+
12001221210 = 23511379710133
BaseRepresentation
bin10110010110101010…
…00001101001011010
31010222101102012112110
423023111001221122
5144034303034320
65302511453150
7603254461056
oct131325015132
933871365473
1012001221210
1150a9416140
1223ab2271b6
1311934a1634
1481bc58c66
154a39125e0
hex2cb541a5a

12001221210 has 128 divisors (see below), whose sum is σ = 32606509824. Its totient is φ = 2801295360.

The previous prime is 12001221187. The next prime is 12001221217. The reversal of 12001221210 is 1212210021.

It is not an unprimeable number, because it can be changed into a prime (12001221217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1179304 + ... + 1189436.

It is an arithmetic number, because the mean of its divisors is an integer number (254738358).

Almost surely, 212001221210 is an apocalyptic number.

12001221210 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 12001221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303254912).

12001221210 is an abundant number, since it is smaller than the sum of its proper divisors (20605288614).

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

12001221210 is a wasteful number, since it uses less digits than its factorization.

12001221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001221210 its reverse (1212210021), we get a palindrome (13213431231).

The spelling of 12001221210 in words is "twelve billion, one million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 97 110 111 165 185 194 222 291 330 370 407 485 555 582 814 970 1067 1110 1221 1455 2035 2134 2442 2910 3201 3589 4070 5335 6105 6402 7178 10133 10670 10767 12210 16005 17945 20266 21534 30399 32010 35890 39479 50665 53835 60798 78958 101330 107670 111463 118437 151995 197395 222926 236874 303990 334389 374921 394790 557315 592185 668778 749842 982901 1114630 1124763 1184370 1671945 1874605 1965802 2249526 2948703 3343890 3749210 4124131 4914505 5623815 5897406 8248262 9829010 10811911 11247630 12372393 14743515 20620655 21623822 24744786 29487030 32435733 36367337 41241310 54059555 61861965 64871466 72734674 108119110 109102011 123723930 162178665 181836685 218204022 324357330 363673370 400040707 545510055 800081414 1091020110 1200122121 2000203535 2400244242 4000407070 6000610605 12001221210