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12211122001100 = 22521137657294793
BaseRepresentation
bin1011000110110001111110…
…0101101101010011001100
31121020101001002100222120112
42301230133211231103030
53100031334213013400
641545413443135152
72400136662266501
oct261543745552314
947211032328515
1012211122001100
113988787032050
1214527200744b8
136a7671cb10a9
14303042c4b4a8
1516298c9d2835
hexb1b1f96d4cc

12211122001100 has 72 divisors (see below), whose sum is σ = 28907921785008. Its totient is φ = 4440275020800.

The previous prime is 12211122001069. The next prime is 12211122001139. The reversal of 12211122001100 is 110022111221.

It is a super-2 number, since 2×122111220011002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41275304 + ... + 41570096.

Almost surely, 212211122001100 is an apocalyptic number.

12211122001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211122001100 is an abundant number, since it is smaller than the sum of its proper divisors (16696799783908).

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

12211122001100 is a wasteful number, since it uses less digits than its factorization.

12211122001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332475 (or 332468 counting only the distinct ones).

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

Adding to 12211122001100 its reverse (110022111221), we get a palindrome (12321144112321).

The spelling of 12211122001100 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 37657 75314 150628 188285 294793 376570 414227 589586 753140 828454 941425 1179172 1473965 1656908 1882850 2071135 2947930 3242723 3765700 4142270 5895860 6485446 7369825 8284540 10355675 12970892 14739650 16213615 20711350 29479300 32427230 41422700 64854460 81068075 162136150 324272300 11101020001 22202040002 44404080004 55505100005 111010200010 122111220011 222020400020 244222440022 277525500025 488444880044 555051000050 610556100055 1110102000100 1221112200110 2442224400220 3052780500275 6105561000550 12211122001100