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12211121112012 = 22322411407459787
BaseRepresentation
bin1011000110110001111110…
…0010010100001111001100
31121020101001000200210222100
42301230133202110033030
53100031334001041022
641545413412115100
72400136651604424
oct261543742241714
947211030623870
1012211121112012
113988786585069
12145271b905a90
136a7671a5c4c4
14303042a99484
1516298c8a91ac
hexb1b1f8943cc

12211121112012 has 36 divisors (see below), whose sum is σ = 30995079451336. Its totient is φ = 4053484183680.

The previous prime is 12211121111953. The next prime is 12211121112013. The reversal of 12211121112012 is 21021112111221.

It is a happy number.

12211121112012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122111211120122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12211121112013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703721218 + ... + 703738569.

Almost surely, 212211121112012 is an apocalyptic number.

12211121112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12211121112012 is an abundant number, since it is smaller than the sum of its proper divisors (18783958339324).

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

12211121112012 is a wasteful number, since it uses less digits than its factorization.

12211121112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407460038 (or 1407460033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12211121112012 its reverse (21021112111221), we get a palindrome (33232233223233).

The spelling of 12211121112012 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 723 964 1446 2169 2892 4338 8676 1407459787 2814919574 4222379361 5629839148 8444758722 12667138083 16889517444 25334276166 50668552332 339197808667 678395617334 1017593426001 1356791234668 2035186852002 3052780278003 4070373704004 6105560556006 12211121112012