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12221111120 = 2451491025261
BaseRepresentation
bin10110110000110111…
…10101101101010000
31011112201011202210012
423120123311231100
5200012101023440
65340404454052
7611564505401
oct133033655520
934481152705
1012221111120
115201553739
1224509aa328
1311c9c00bca
1483d1379a8
154b7d99e65
hex2d86f5b50

12221111120 has 40 divisors (see below), whose sum is σ = 28604809800. Its totient is φ = 4855631360.

The previous prime is 12221111107. The next prime is 12221111173. The reversal of 12221111120 is 2111112221.

It can be written as a sum of positive squares in 4 ways, for example, as 1703377984 + 10517733136 = 41272^2 + 102556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12221111095 and 12221111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500711 + ... + 524550.

It is an arithmetic number, because the mean of its divisors is an integer number (715120245).

Almost surely, 212221111120 is an apocalyptic number.

12221111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221111120 is an abundant number, since it is smaller than the sum of its proper divisors (16383698680).

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

12221111120 is a wasteful number, since it uses less digits than its factorization.

12221111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025423 (or 1025417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12221111120 its reverse (2111112221), we get a palindrome (14332223341).

It can be divided in two parts, 122211 and 11120, that added together give a palindrome (133331).

The spelling of 12221111120 in words is "twelve billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 1025261 2050522 4101044 5126305 8202088 10252610 16404176 20505220 41010440 82020880 152763889 305527778 611055556 763819445 1222111112 1527638890 2444222224 3055277780 6110555560 12221111120