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1221120208 = 247111039623
BaseRepresentation
bin100100011001000…
…1101000011010000
310011002202100000101
41020302031003100
510000101321313
6321100502144
742155231140
oct11062150320
93132670011
101221120208
11577321760
122a0b4a954
13165caa749
14b826a920
157230d5dd
hex48c8d0d0

1221120208 has 80 divisors (see below), whose sum is σ = 2978666496. Its totient is φ = 471093120.

The previous prime is 1221120193. The next prime is 1221120211. The reversal of 1221120208 is 8020211221.

It is a super-2 number, since 2×12211202082 = 2982269124771926528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122085 + ... + 131707.

Almost surely, 21221120208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489333248).

1221120208 is an abundant number, since it is smaller than the sum of its proper divisors (1757546288).

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

1221120208 is a wasteful number, since it uses less digits than its factorization.

1221120208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9752 (or 9746 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1221120208 is about 34944.5304446919. The cubic root of 1221120208 is about 1068.8566726033.

Adding to 1221120208 its reverse (8020211221), we get a palindrome (9241331429).

The spelling of 1221120208 in words is "one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 103 112 154 176 206 308 412 616 721 824 1133 1232 1442 1648 2266 2884 4532 5768 7931 9064 9623 11536 15862 18128 19246 31724 38492 63448 67361 76984 105853 126896 134722 153968 211706 269444 423412 538888 740971 846824 991169 1077776 1481942 1693648 1982338 2963884 3964676 5927768 6938183 7929352 10902859 11855536 13876366 15858704 21805718 27752732 43611436 55505464 76320013 87222872 111010928 152640026 174445744 305280052 610560104 1221120208