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12211001100 = 2234521507531
BaseRepresentation
bin10110101111101010…
…10001011100001100
31011112000011010110000
423113311101130030
5200002004013400
65335404044300
7611412540204
oct132765213414
934460133400
1012211001100
1151a6878951
122449533690
1311c7aa124c
1483ba65404
154b704e600
hex2d7d5170c

12211001100 has 90 divisors (see below), whose sum is σ = 39583267724. Its totient is φ = 3256264800.

The previous prime is 12211001083. The next prime is 12211001123. The reversal of 12211001100 is 110011221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 745666 + ... + 761865.

Almost surely, 212211001100 is an apocalyptic number.

12211001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211001100 is an abundant number, since it is smaller than the sum of its proper divisors (27372266624).

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

12211001100 is a wasteful number, since it uses less digits than its factorization.

12211001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507557 (or 1507541 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12211001100 its reverse (110011221), we get a palindrome (12321012321).

The spelling of 12211001100 in words is "twelve billion, two hundred eleven million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 1507531 3015062 4522593 6030124 7537655 9045186 13567779 15075310 18090372 22612965 27135558 30150620 37688275 40703337 45225930 54271116 67838895 75376550 81406674 90451860 113064825 122110011 135677790 150753100 162813348 203516685 226129650 244220022 271355580 339194475 407033370 452259300 488440044 610550055 678388950 814066740 1017583425 1221100110 1356777900 2035166850 2442200220 3052750275 4070333700 6105500550 12211001100