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12212211110001 = 3731412711688341
BaseRepresentation
bin1011000110110110000010…
…0000010101000001110001
31121020110211222201110010020
42301231200200111001301
53100041102021010001
641550113510354053
72400205655462220
oct261554040250161
947213758643106
1012212211110001
113989195888751
12145298495b929
136a77b681a726
14303107752cb7
15162a03416736
hexb1b60815071

12212211110001 has 64 divisors (see below), whose sum is σ = 19750521864192. Its totient is φ = 6564265920000.

The previous prime is 12212211109993. The next prime is 12212211110003. The reversal of 12212211110001 is 10001111221221.

It is a happy number.

It is not a de Polignac number, because 12212211110001 - 23 = 12212211109993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12212211110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6389091 + ... + 8077431.

It is an arithmetic number, because the mean of its divisors is an integer number (308601904128).

Almost surely, 212212211110001 is an apocalyptic number.

It is an amenable number.

12212211110001 is a deficient number, since it is larger than the sum of its proper divisors (7538310754191).

12212211110001 is a wasteful number, since it uses less digits than its factorization.

12212211110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688694.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12212211110001 its reverse (10001111221221), we get a palindrome (22213322331222).

The spelling of 12212211110001 in words is "twelve trillion, two hundred twelve billion, two hundred eleven million, one hundred ten thousand, one".

Divisors: 1 3 7 21 31 41 93 123 217 271 287 651 813 861 1271 1897 3813 5691 8401 8897 11111 25203 26691 33333 58807 77777 176421 233331 344441 1033323 1688341 2411087 5065023 7233261 11818387 35455161 52338571 69221981 157015713 207665943 366369997 457540411 484553867 1099109991 1372621233 1453661601 2145881411 3202782877 6437644233 9608348631 14183752741 15021169877 18759156851 42551258223 45063509631 56277470553 99286269187 131314097957 297858807561 393942293871 581533862381 1744601587143 4070737036667 12212211110001