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12211000212000 = 253531017583351
BaseRepresentation
bin1011000110110001100001…
…0101000111101000100000
31121020100201121012110100010
42301230120111013220200
53100031112023241000
641545353412524520
72400133653144312
oct261543025075040
947210647173303
1012211000212000
1139887243090a7
1214526a7320740
136a76529aba35
143030309c77b2
15162981e76d50
hexb1b18547a20

12211000212000 has 96 divisors (see below), whose sum is σ = 40003236733824. Its totient is φ = 3256266720000.

The previous prime is 12211000211959. The next prime is 12211000212013. The reversal of 12211000212000 is 21200011221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508779676 + ... + 508803675.

It is an arithmetic number, because the mean of its divisors is an integer number (416700382644).

Almost surely, 212211000212000 is an apocalyptic number.

12211000212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211000212000 is an abundant number, since it is smaller than the sum of its proper divisors (27792236521824).

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

12211000212000 is a wasteful number, since it uses less digits than its factorization.

12211000212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017583379 (or 1017583361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211000212000 its reverse (21200011221), we get a palindrome (12232200223221).

The spelling of 12211000212000 in words is "twelve trillion, two hundred eleven billion, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1017583351 2035166702 3052750053 4070333404 5087916755 6105500106 8140666808 10175833510 12211000212 15263750265 16281333616 20351667020 24422000424 25439583775 30527500530 32562667232 40703334040 48844000848 50879167550 61055001060 76318751325 81406668080 97688001696 101758335100 122110002120 127197918875 152637502650 162813336160 203516670200 244220004240 254395837750 305275005300 381593756625 407033340400 488440008480 508791675500 610550010600 763187513250 814066680800 1017583351000 1221100021200 1526375026500 2035166702000 2442200042400 3052750053000 4070333404000 6105500106000 12211000212000