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12132212204 = 22731103135701
BaseRepresentation
bin10110100110010001…
…01101110111101100
31011022111220020101202
423103020231313230
5144321321242304
65323511225032
7606435050030
oct132310556754
934274806352
1012132212204
115166354662
122427078178
1311b46761b8
148313d61c0
154b018981e
hex2d322ddec

12132212204 has 48 divisors (see below), whose sum is σ = 25290510336. Its totient is φ = 4982904000.

The previous prime is 12132212203. The next prime is 12132212219. The reversal of 12132212204 is 40221223121.

It is not an unprimeable number, because it can be changed into a prime (12132212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21554 + ... + 157254.

It is an arithmetic number, because the mean of its divisors is an integer number (526885632).

Almost surely, 212132212204 is an apocalyptic number.

12132212204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132212204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645255168).

12132212204 is an abundant number, since it is smaller than the sum of its proper divisors (13158298132).

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

12132212204 is a wasteful number, since it uses less digits than its factorization.

12132212204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135846 (or 135844 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12132212204 its reverse (40221223121), we get a palindrome (52353435325).

The spelling of 12132212204 in words is "twelve billion, one hundred thirty-two million, two hundred twelve thousand, two hundred four".

Divisors: 1 2 4 7 14 28 31 62 103 124 206 217 412 434 721 868 1442 2884 3193 6386 12772 22351 44702 89404 135701 271402 542804 949907 1899814 3799628 4206731 8413462 13977203 16826924 27954406 29447117 55908812 58894234 97840421 117788468 195680842 391361684 433293293 866586586 1733173172 3033053051 6066106102 12132212204