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12025432300 = 2252744938261
BaseRepresentation
bin10110011001100010…
…11000100011101100
31011001001222020220111
423030301120203230
5144112002313200
65305134425404
7604000326250
oct131461304354
934031866814
1012025432300
115111052302
1223b7362264
1311984ca71b
1482115c260
154a5ae60ba
hex2ccc588ec

12025432300 has 72 divisors (see below), whose sum is σ = 29890274400. Its totient is φ = 4113715200.

The previous prime is 12025432249. The next prime is 12025432343. The reversal of 12025432300 is 323452021.

It is a super-2 number, since 2×120254323002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295170 + ... + 333430.

It is an arithmetic number, because the mean of its divisors is an integer number (415142700).

Almost surely, 212025432300 is an apocalyptic number.

12025432300 is a gapful number since it is divisible by the number (10) 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 12025432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945137200).

12025432300 is an abundant number, since it is smaller than the sum of its proper divisors (17864842100).

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

12025432300 is a wasteful number, since it uses less digits than its factorization.

12025432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38731 (or 38724 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 12025432300 its reverse (323452021), we get a palindrome (12348884321).

The spelling of 12025432300 in words is "twelve billion, twenty-five million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 449 700 898 1796 2245 3143 4490 6286 8980 11225 12572 15715 22450 31430 38261 44900 62860 76522 78575 153044 157150 191305 267827 314300 382610 535654 765220 956525 1071308 1339135 1913050 2678270 3826100 5356540 6695675 13391350 17179189 26782700 34358378 68716756 85895945 120254323 171791890 240508646 343583780 429479725 481017292 601271615 858959450 1202543230 1717918900 2405086460 3006358075 6012716150 12025432300