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12002122110 = 23511113367877
BaseRepresentation
bin10110010110110000…
…11101100101111110
31010222110002222100010
423023120131211332
5144040020401420
65302543044050
7603265232436
oct131330354576
933873088303
1012002122110
1150a9980a90
1223ab5a0626
131193728704
1481c0112c6
154a3a3e4e0
hex2cb61d97e

12002122110 has 128 divisors (see below), whose sum is σ = 31824451584. Its totient is φ = 2872719360.

The previous prime is 12002122087. The next prime is 12002122159. The reversal of 12002122110 is 1122120021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13684992 + ... + 13685868.

It is an arithmetic number, because the mean of its divisors is an integer number (248628528).

Almost surely, 212002122110 is an apocalyptic number.

12002122110 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 12002122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912225792).

12002122110 is an abundant number, since it is smaller than the sum of its proper divisors (19822329474).

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

12002122110 is a wasteful number, since it uses less digits than its factorization.

12002122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378.

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

Adding to 12002122110 its reverse (1122120021), we get a palindrome (13124242131).

The spelling of 12002122110 in words is "twelve billion, two million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 226 330 339 367 565 678 734 877 1101 1130 1243 1695 1754 1835 2202 2486 2631 3390 3670 3729 4037 4385 5262 5505 6215 7458 8074 8770 9647 11010 12111 12430 13155 18645 19294 20185 24222 26310 28941 37290 40370 41471 48235 57882 60555 82942 96470 99101 121110 124413 144705 198202 207355 248826 289410 297303 321859 414710 456181 495505 594606 622065 643718 912362 965577 991010 1090111 1244130 1368543 1486515 1609295 1931154 2180222 2280905 2737086 2973030 3218590 3270333 3540449 4561810 4827885 5450555 6540666 6842715 7080898 9655770 10621347 10901110 13685430 16351665 17702245 21242694 32703330 35404490 36370067 53106735 72740134 106213470 109110201 181850335 218220402 363700670 400070737 545551005 800141474 1091102010 1200212211 2000353685 2400424422 4000707370 6001061055 12002122110