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12000434300 = 22521767710427
BaseRepresentation
bin10110010110100100…
…00001100001111100
31010222022221020002122
423023102001201330
5144034102344200
65302442542112
7603245002631
oct131322014174
933868836078
1012000434300
1150a8a289a8
1223aab07938
1311932873ca
1481bad2188
154a3809385
hex2cb48187c

12000434300 has 72 divisors (see below), whose sum is σ = 27616138704. Its totient is φ = 4510704640.

The previous prime is 12000434287. The next prime is 12000434321. The reversal of 12000434300 is 343400021.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 1145687 + ... + 1156113.

It is an arithmetic number, because the mean of its divisors is an integer number (383557482).

Almost surely, 212000434300 is an apocalyptic number.

12000434300 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 12000434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808069352).

12000434300 is an abundant number, since it is smaller than the sum of its proper divisors (15615704404).

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

12000434300 is a wasteful number, since it uses less digits than its factorization.

12000434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12000434300 its reverse (343400021), we get a palindrome (12343834321).

The spelling of 12000434300 in words is "twelve billion, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 677 850 1354 1700 2708 3385 6770 10427 11509 13540 16925 20854 23018 33850 41708 46036 52135 57545 67700 104270 115090 177259 208540 230180 260675 287725 354518 521350 575450 709036 886295 1042700 1150900 1772590 3545180 4431475 7059079 8862950 14118158 17725900 28236316 35295395 70590790 120004343 141181580 176476975 240008686 352953950 480017372 600021715 705907900 1200043430 2400086860 3000108575 6000217150 12000434300