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1211222221120 = 26510344938179
BaseRepresentation
bin10001101000000010011…
…110000110000101000000
311021210101011022000021201
4101220002132012011000
5124321040342033440
62324232223430544
7153336134002612
oct21500236060500
94253334260251
101211222221120
114277494049aa
121768aba55454
138a2aa579a32
14428a2b22db2
152179002319a
hex11a02786140

1211222221120 has 112 divisors (see below), whose sum is σ = 2913229388160. Its totient is φ = 479619680256.

The previous prime is 1211222221117. The next prime is 1211222221129. The reversal of 1211222221120 is 211222221121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211222221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148085191 + ... + 148093369.

It is an arithmetic number, because the mean of its divisors is an integer number (26010976680).

Almost surely, 21211222221120 is an apocalyptic number.

1211222221120 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 1211222221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456614694080).

1211222221120 is an abundant number, since it is smaller than the sum of its proper divisors (1702007167040).

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

1211222221120 is a wasteful number, since it uses less digits than its factorization.

1211222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12792 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1211222221120 its reverse (211222221121), we get a palindrome (1422444442241).

Subtracting from 1211222221120 its reverse (211222221121), we obtain a palindrome (999999999999).

The spelling of 1211222221120 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 4493 6592 8179 8240 8986 16358 16480 17972 22465 32716 32960 35944 40895 44930 65432 71888 81790 89860 130864 143776 163580 179720 261728 287552 327160 359440 462779 523456 654320 718880 842437 925558 1308640 1437760 1684874 1851116 2313895 2617280 3369748 3702232 4212185 4627790 6739496 7404464 8424370 9255580 13478992 14808928 16848740 18511160 26957984 29617856 33697480 36748247 37022320 53915968 67394960 73496494 74044640 134789920 146992988 148089280 183741235 269579840 293985976 367482470 587971952 734964940 1175943904 1469929880 2351887808 2939859760 3785069441 5879719520 7570138882 11759439040 15140277764 18925347205 30280555528 37850694410 60561111056 75701388820 121122222112 151402777640 242244444224 302805555280 605611110560 1211222221120