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12100232000 = 26531917919
BaseRepresentation
bin10110100010011101…
…01110001101000000
31011020021201110210202
423101032232031000
5144240124411000
65320405544332
7605566163213
oct132116561500
934207643722
1012100232000
11514a2a143a
1224184150a8
1311aab59abc
1482b06d77a
154ac46ddd5
hex2d13ae340

12100232000 has 112 divisors (see below), whose sum is σ = 30126919680. Its totient is φ = 4814144000.

The previous prime is 12100231961. The next prime is 12100232003. The reversal of 12100232000 is 23200121.

It is a happy number.

It is a super-2 number, since 2×121002320002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100232003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524041 + ... + 1531959.

Almost surely, 212100232000 is an apocalyptic number.

12100232000 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 12100232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15063459840).

12100232000 is an abundant number, since it is smaller than the sum of its proper divisors (18026687680).

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

12100232000 is an equidigital number, since it uses as much as digits as its factorization.

12100232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12100232000 its reverse (23200121), we get a palindrome (12123432121).

The spelling of 12100232000 in words is "twelve billion, one hundred million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 191 200 250 320 382 400 500 764 800 955 1000 1528 1600 1910 2000 3056 3820 4000 4775 6112 7640 7919 8000 9550 12224 15280 15838 19100 23875 30560 31676 38200 39595 47750 61120 63352 76400 79190 95500 126704 152800 158380 191000 197975 253408 305600 316760 382000 395950 506816 633520 764000 791900 989875 1267040 1512529 1528000 1583800 1979750 2534080 3025058 3167600 3959500 6050116 6335200 7562645 7919000 12100232 12670400 15125290 15838000 24200464 30250580 31676000 37813225 48400928 60501160 63352000 75626450 96801856 121002320 151252900 189066125 242004640 302505800 378132250 484009280 605011600 756264500 1210023200 1512529000 2420046400 3025058000 6050116000 12100232000