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12222000011000 = 2353132087450481
BaseRepresentation
bin1011000111011010011111…
…1110000001011011111000
31121021102010012021010212002
42301312213332001123320
53100221124000323000
641554413112440132
72401003360662203
oct261664776013370
947242105233762
1012222000011000
11399235941997a
1214548570a9048
136a86b6865a40
1430379584493a
15162dc79c68d5
hexb1da7f816f8

12222000011000 has 128 divisors (see below), whose sum is σ = 30814266188160. Its totient is φ = 4510566144000.

The previous prime is 12222000010967. The next prime is 12222000011009. The reversal of 12222000011000 is 11000022221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222000011009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26905760 + ... + 27356240.

It is an arithmetic number, because the mean of its divisors is an integer number (240736454595).

Almost surely, 212222000011000 is an apocalyptic number.

12222000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407133094080).

12222000011000 is an abundant number, since it is smaller than the sum of its proper divisors (18592266177160).

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

12222000011000 is a wasteful number, since it uses less digits than its factorization.

12222000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452602 (or 452588 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12222000011000 its reverse (11000022221), we get a palindrome (12233000033221).

The spelling of 12222000011000 in words is "twelve trillion, two hundred twenty-two billion, eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2087 2600 3250 4174 6500 8348 10435 13000 16696 20870 27131 41740 52175 54262 83480 104350 108524 135655 208700 217048 260875 271310 417400 450481 521750 542620 678275 900962 1043500 1085240 1356550 1801924 2087000 2252405 2713100 3391375 3603848 4504810 5426200 5856253 6782750 9009620 11262025 11712506 13565500 18019240 22524050 23425012 27131000 29281265 45048100 46850024 56310125 58562530 90096200 112620250 117125060 146406325 225240500 234250120 292812650 450481000 585625300 732031625 940153847 1171250600 1464063250 1880307694 2928126500 3760615388 4700769235 5856253000 7521230776 9401538470 12222000011 18803076940 23503846175 24444000022 37606153880 47007692350 48888000044 61110000055 94015384700 97776000088 117519230875 122220000110 188030769400 235038461750 244440000220 305550000275 470076923500 488880000440 611100000550 940153847000 1222200001100 1527750001375 2444400002200 3055500002750 6111000005500 12222000011000