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12132032190 = 2351959935533
BaseRepresentation
bin10110100110010000…
…00001111010111110
31011022111120002110120
423103020001322332
5144321300012230
65323503315410
7606433400145
oct132310017276
934274502416
1012132032190
115166241393
122426babb66
1311b4612295
1483138a75c
154b0151310
hex2d3201ebe

12132032190 has 64 divisors (see below), whose sum is σ = 30701376000. Its totient is φ = 3059731584.

The previous prime is 12132032183. The next prime is 12132032191. The reversal of 12132032190 is 9123023121.

12132032190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121320321903 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12132032190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132032191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 323664 + ... + 359196.

It is an arithmetic number, because the mean of its divisors is an integer number (479709000).

Almost surely, 212132032190 is an apocalyptic number.

12132032190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132032190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15350688000).

12132032190 is an abundant number, since it is smaller than the sum of its proper divisors (18569343810).

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

12132032190 is a wasteful number, since it uses less digits than its factorization.

12132032190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36161.

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 12132032190 in words is "twelve billion, one hundred thirty-two million, thirty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 599 1198 1797 2995 3594 5990 8985 11381 17970 22762 34143 35533 56905 68286 71066 106599 113810 170715 177665 213198 341430 355330 532995 675127 1065990 1350254 2025381 3375635 4050762 6751270 10126905 20253810 21284267 42568534 63852801 106421335 127705602 212842670 319264005 404401073 638528010 808802146 1213203219 2022005365 2426406438 4044010730 6066016095 12132032190