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12211121112100 = 2252483125276591
BaseRepresentation
bin1011000110110001111110…
…0010010100010000100100
31121020101001000200211002121
42301230133202110100210
53100031334001041400
641545413412115324
72400136651604611
oct261543742242044
947211030624077
1012211121112100
113988786585139
12145271b905b44
136a7671a5c561
14303042a99508
1516298c8a921a
hexb1b1f894424

12211121112100 has 36 divisors (see below), whose sum is σ = 26503618882048. Its totient is φ = 4883437188000.

The previous prime is 12211121112053. The next prime is 12211121112107. The reversal of 12211121112100 is 121112111221.

It is a super-2 number, since 2×122111211121002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211121112107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12155196 + ... + 13121395.

Almost surely, 212211121112100 is an apocalyptic number.

12211121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211121112100 is an abundant number, since it is smaller than the sum of its proper divisors (14292497769948).

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

12211121112100 is a wasteful number, since it uses less digits than its factorization.

12211121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281436 (or 25281429 counting only the distinct ones).

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

Adding to 12211121112100 its reverse (121112111221), we get a palindrome (12332233223321).

The spelling of 12211121112100 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4831 9662 19324 24155 48310 96620 120775 241550 483100 25276591 50553182 101106364 126382955 252765910 505531820 631914775 1263829550 2527659100 122111211121 244222422242 488444844484 610556055605 1221112111210 2442224222420 3052780278025 6105560556050 12211121112100