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1221001012 = 2272115211087
BaseRepresentation
bin100100011000110…
…1111111100110100
310011002112021111201
41020301233330310
510000034013022
6321054142244
742154223500
oct11061577464
93132467451
101221001012
11577250150
122a0ab1984
13165c6840a
14b8239300
15722d8127
hex48c6ff34

1221001012 has 72 divisors (see below), whose sum is σ = 2719277568. Its totient is φ = 474364800.

The previous prime is 1221000997. The next prime is 1221001051. The reversal of 1221001012 is 2101001221.

It is a self number, because there is not a number n which added to its sum of digits gives 1221001012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1122733 + ... + 1123819.

It is an arithmetic number, because the mean of its divisors is an integer number (37767744).

Almost surely, 21221001012 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 1221001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359638784).

1221001012 is an abundant number, since it is smaller than the sum of its proper divisors (1498276556).

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

1221001012 is a wasteful number, since it uses less digits than its factorization.

1221001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1221001012 is about 34942.8249001136. The cubic root of 1221001012 is about 1068.8218937216.

Adding to 1221001012 its reverse (2101001221), we get a palindrome (3322002233).

The spelling of 1221001012 in words is "one billion, two hundred twenty-one million, one thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 521 539 1042 1078 1087 2084 2156 2174 3647 4348 5731 7294 7609 11462 11957 14588 15218 22924 23914 25529 30436 40117 47828 51058 53263 80234 83699 102116 106526 160468 167398 213052 280819 334796 561638 566327 585893 1123276 1132654 1171786 2265308 2343572 3964289 6229597 7928578 12459194 15857156 24918388 27750023 43607179 55500046 87214358 111000092 174428716 305250253 610500506 1221001012