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12211200221985 = 3252638779117529
BaseRepresentation
bin1011000110110010010001…
…0000000110001100100001
31121020101020112120000110100
42301230210100012030201
53100032014224100420
641545425315453013
72400141632202642
oct261544420061441
947211215500410
1012211200221985
1139888171a8606
1214527422b7169
136a768526a73b
1430304d3ad6c9
151629947d4190
hexb1b24406321

12211200221985 has 48 divisors (see below), whose sum is σ = 21249160732800. Its totient is φ = 6487083009792.

The previous prime is 12211200221981. The next prime is 12211200221993. The reversal of 12211200221985 is 58912200211221.

12211200221985 is a `hidden beast` number, since 1 + 221 + 1 + 200 + 221 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 12211200221985 - 22 = 12211200221981 is a prime.

It is a super-2 number, since 2×122112002219852 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211200221981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103840701 + ... + 103958229.

It is an arithmetic number, because the mean of its divisors is an integer number (442690848600).

Almost surely, 212211200221985 is an apocalyptic number.

12211200221985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12211200221985 is a deficient number, since it is larger than the sum of its proper divisors (9037960510815).

12211200221985 is a wasteful number, since it uses less digits than its factorization.

12211200221985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126582 (or 126579 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 12211200221985 in words is "twelve trillion, two hundred eleven billion, two hundred million, two hundred twenty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 263 789 1315 2367 3945 8779 11835 26337 43895 79011 117529 131685 352587 395055 587645 1057761 1762935 2308877 5288805 6926631 11544385 20779893 30910127 34633155 92730381 103899465 154550635 278191143 463651905 1031787091 1390955715 3095361273 5158935455 9286083819 15476806365 46430419095 271360004933 814080014799 1356800024665 2442240044397 4070400073995 12211200221985