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12221241004 = 2271087401539
BaseRepresentation
bin10110110000111000…
…10101011010101100
31011112201102100221201
423120130111122230
5200012114203004
65340411335244
7611565556150
oct133034253254
934481370851
1012221241004
115201632285
122450a51524
1311c9c4806b
1483d16d060
154b7dc36a4
hex2d87156ac

12221241004 has 24 divisors (see below), whose sum is σ = 24465029120. Its totient is φ = 5232843216.

The previous prime is 12221240957. The next prime is 12221241013. The reversal of 12221241004 is 40014212221.

12221241004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 170334 + ... + 231205.

Almost surely, 212221241004 is an apocalyptic number.

12221241004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12221241004 is an abundant number, since it is smaller than the sum of its proper divisors (12243788116).

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

12221241004 is a wasteful number, since it uses less digits than its factorization.

12221241004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402637 (or 402635 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12221241004 its reverse (40014212221), we get a palindrome (52235453225).

It can be divided in two parts, 122212 and 41004, that added together give a square (163216 = 4042).

The spelling of 12221241004 in words is "twelve billion, two hundred twenty-one million, two hundred forty-one thousand, four".

Divisors: 1 2 4 7 14 28 1087 2174 4348 7609 15218 30436 401539 803078 1606156 2810773 5621546 11243092 436472893 872945786 1745891572 3055310251 6110620502 12221241004