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12221200120110 = 2354127171950993
BaseRepresentation
bin1011000111010111100001…
…0010101011100100101110
31121021100001110010110211120
42301311320102223210232
53100213004212320420
641554201500201410
72400644506011612
oct261657022534456
947240043113746
1012221200120110
113991a88953023
121454673239266
136a85b9c20717
1430371b507342
15162d7c671d40
hexb1d784ab92e

12221200120110 has 128 divisors (see below), whose sum is σ = 30199674839040. Its totient is φ = 3163298918400.

The previous prime is 12221200120099. The next prime is 12221200120117. The reversal of 12221200120110 is 1102100212221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221200120110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221200120117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239638774 + ... + 239689766.

It is an arithmetic number, because the mean of its divisors is an integer number (235934959680).

Almost surely, 212221200120110 is an apocalyptic number.

12221200120110 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 12221200120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099837419520).

12221200120110 is an abundant number, since it is smaller than the sum of its proper divisors (17978474718930).

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

12221200120110 is a wasteful number, since it uses less digits than its factorization.

12221200120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52034.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221200120110 its reverse (1102100212221), we get a palindrome (13323300332331).

The spelling of 12221200120110 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 719 813 1230 1355 1438 1626 2157 2710 3595 4065 4314 7190 8130 10785 11111 21570 22222 29479 33333 50993 55555 58958 66666 88437 101986 111110 147395 152979 166665 176874 194849 254965 294790 305958 333330 389698 442185 509930 584547 764895 884370 974245 1169094 1529790 1948490 2090713 2922735 4181426 5845470 6272139 7988809 10453565 12544278 13819103 15977618 20907130 23966427 27638206 31360695 36663967 39944045 41457309 47932854 62721390 69095515 73327934 79888090 82914618 109991901 119832135 138191030 183319835 207286545 219983802 239664270 366639670 414573090 549959505 566583223 1099919010 1133166446 1503222647 1699749669 2832916115 3006445294 3399499338 4509667941 5665832230 7516113235 8498748345 9019335882 9935935057 15032226470 16997496690 19871870114 22548339705 29807805171 45096679410 49679675285 59615610342 99359350570 149039025855 298078051710 407373337337 814746674674 1222120012011 2036866686685 2444240024022 4073733373370 6110600060055 12221200120110