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121211111010 = 2351110133110987
BaseRepresentation
bin111000011100010111…
…1101100011001100010
3102120212102002102110210
41300320233230121202
53441220021023020
6131403354434550
711520503305203
oct1607057543142
9376772072423
10121211111010
114745056a810
121b5a9432a56
13b57909bcc2
145c1c1295aa
1532464883e0
hex1c38bec662

121211111010 has 128 divisors (see below), whose sum is σ = 321492354048. Its totient is φ = 29003040000.

The previous prime is 121211110903. The next prime is 121211111017. The reversal of 121211111010 is 10111112121.

121211111010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121211111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11026737 + ... + 11037723.

It is an arithmetic number, because the mean of its divisors is an integer number (2511659016).

Almost surely, 2121211111010 is an apocalyptic number.

121211111010 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 121211111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160746177024).

121211111010 is an abundant number, since it is smaller than the sum of its proper divisors (200281243038).

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

121211111010 is a wasteful number, since it uses less digits than its factorization.

121211111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121211111010 its reverse (10111112121), we get a palindrome (131322223131).

It can be divided in two parts, 12121111 and 1010, that added together give a palindrome (12122121).

The spelling of 121211111010 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 331 505 606 662 993 1010 1111 1515 1655 1986 2222 3030 3310 3333 3641 4965 5555 6666 7282 9930 10923 10987 11110 16665 18205 21846 21974 32961 33330 33431 36410 54615 54935 65922 66862 100293 109230 109870 120857 164805 167155 200586 241714 329610 334310 362571 367741 501465 604285 725142 735482 1002930 1103223 1109687 1208570 1812855 1838705 2206446 2219374 3329061 3625710 3636697 3677410 5516115 5548435 6658122 7273394 10910091 11032230 11096870 12206557 16645305 18183485 21820182 24413114 33290610 36366970 36619671 40003667 54550455 61032785 73239342 80007334 109100910 120011001 122065570 183098355 200018335 240022002 366196710 367306397 400036670 600055005 734612794 1101919191 1200110010 1836531985 2203838382 3673063970 4040370367 5509595955 8080740734 11019191910 12121111101 20201851835 24242222202 40403703670 60605555505 121211111010