Search a number
-
+
12221111000010 = 235112910112643793
BaseRepresentation
bin1011000111010111001011…
…1110101101101111001010
31121021022211020102201001010
42301311302332231233022
53100212313404000020
641554144554104350
72400642344342343
oct261656276555712
947238736381033
1012221111000010
113991a42612850
12145464941b0b6
136a85a4619133
1430370d7490ca
15162d7491ade0
hexb1d72fadbca

12221111000010 has 128 divisors (see below), whose sum is σ = 33428168328960. Its totient is φ = 2832209408000.

The previous prime is 12221110999931. The next prime is 12221111000017. The reversal of 12221111000010 is 1000011112221.

It is a self number, because there is not a number n which added to its sum of digits gives 12221111000010.

It is not an unprimeable number, because it can be changed into a prime (12221111000017) 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, 5355327 + ... + 7288466.

It is an arithmetic number, because the mean of its divisors is an integer number (261157565070).

Almost surely, 212221111000010 is an apocalyptic number.

12221111000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12221111000010 is an abundant number, since it is smaller than the sum of its proper divisors (21207057328950).

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

12221111000010 is a wasteful number, since it uses less digits than its factorization.

12221111000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12643944.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12221111000010 its reverse (1000011112221), we get a palindrome (13221122112231).

The spelling of 12221111000010 in words is "twelve trillion, two hundred twenty-one billion, one hundred eleven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 101 110 145 165 174 202 290 303 319 330 435 505 606 638 870 957 1010 1111 1515 1595 1914 2222 2929 3030 3190 3333 4785 5555 5858 6666 8787 9570 11110 14645 16665 17574 29290 32219 33330 43935 64438 87870 96657 161095 193314 322190 483285 966570 12643793 25287586 37931379 63218965 75862758 126437930 139081723 189656895 278163446 366669997 379313790 417245169 695408615 733339994 834490338 1100009991 1277023093 1390817230 1833349985 2086225845 2200019982 2554046186 3666699970 3831069279 4033369967 4172451690 5500049955 6385115465 7662138558 8066739934 11000099910 12100109901 12770230930 14047254023 19155346395 20166849835 24200219802 28094508046 37033669697 38310692790 40333699670 42141762069 60500549505 70236270115 74067339394 84283524138 111101009091 121001099010 140472540230 185168348485 210708810345 222202018182 370336696970 407370366667 421417620690 555505045455 814740733334 1111010090910 1222111100001 2036851833335 2444222200002 4073703666670 6110555500005 12221111000010