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12132607220 = 2254611315901
BaseRepresentation
bin10110100110010100…
…01110010011110100
31011022112122022020222
423103022032103310
5144321421412340
65323523513512
7606441313466
oct132312162364
934275568228
1012132607220
1151665a4418
122427228898
1311b4783c36
1483149a136
154b02168b5
hex2d328e4f4

12132607220 has 24 divisors (see below), whose sum is σ = 25533762408. Its totient is φ = 4842512000.

The previous prime is 12132607189. The next prime is 12132607241. The reversal of 12132607220 is 2270623121.

12132607220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24245776 + 12108361444 = 4924^2 + 110038^2 .

It is a super-2 number, since 2×121326072202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12132607220.

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 7 ways as a sum of consecutive naturals, for example, 648731 + ... + 667170.

It is an arithmetic number, because the mean of its divisors is an integer number (1063906767).

Almost surely, 212132607220 is an apocalyptic number.

12132607220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132607220 is an abundant number, since it is smaller than the sum of its proper divisors (13401155188).

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

12132607220 is a wasteful number, since it uses less digits than its factorization.

12132607220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316371 (or 1316369 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 12132607220 in words is "twelve billion, one hundred thirty-two million, six hundred seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 461 922 1844 2305 4610 9220 1315901 2631802 5263604 6579505 13159010 26318020 606630361 1213260722 2426521444 3033151805 6066303610 12132607220