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12201122000000 = 27566100561
BaseRepresentation
bin1011000110001100101110…
…0010101110110010000000
31121012102020011121021221102
42301203023202232302000
53044400344213000000
641541041300313532
72366334114551363
oct261431342566200
947172204537842
1012201122000000
11398451531722a
1214507ab0a28a8
136a673a2c328b
14302774ac80da
151625a4b243d5
hexb18cb8aec80

12201122000000 has 112 divisors (see below), whose sum is σ = 30383269487610. Its totient is φ = 4880448000000.

The previous prime is 12201121999987. The next prime is 12201122000017. The reversal of 12201122000000 is 22110221.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 2691200878144 + 9509921121856 = 1640488^2 + 3083816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1050281 + ... + 5050280.

Almost surely, 212201122000000 is an apocalyptic number.

12201122000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201122000000 is an abundant number, since it is smaller than the sum of its proper divisors (18182147487610).

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

12201122000000 is an frugal number, since it uses more digits than its factorization.

12201122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100605 (or 6100568 counting only the distinct ones).

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

Adding to 12201122000000 its reverse (22110221), we get a palindrome (12201144110221).

The spelling of 12201122000000 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 6100561 12201122 24402244 30502805 48804488 61005610 97608976 122011220 152514025 195217952 244022440 305028050 390435904 488044880 610056100 762570125 780871808 976089760 1220112200 1525140250 1952179520 2440224400 3050280500 3812850625 3904359040 4880448800 6100561000 7625701250 9760897600 12201122000 15251402500 19064253125 19521795200 24402244000 30502805000 38128506250 48804488000 61005610000 76257012500 95321265625 97608976000 122011220000 152514025000 190642531250 244022440000 305028050000 381285062500 488044880000 610056100000 762570125000 1220112200000 1525140250000 2440224400000 3050280500000 6100561000000 12201122000000