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12132303000 = 2335313130871
BaseRepresentation
bin10110100110010010…
…00100000010011000
31011022112001211221120
423103021010002120
5144321332144000
65323513205240
7606435605526
oct132311040230
934275054846
1012132303000
1151664068a4
122427100820
1311b46a861c
1483141b316
154b01a66a0
hex2d3244098

12132303000 has 128 divisors (see below), whose sum is σ = 38142973440. Its totient is φ = 3210480000.

The previous prime is 12132302999. The next prime is 12132303031. The reversal of 12132303000 is 30323121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377565 + ... + 408435.

It is an arithmetic number, because the mean of its divisors is an integer number (297991980).

Almost surely, 212132303000 is an apocalyptic number.

12132303000 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 12132303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071486720).

12132303000 is an abundant number, since it is smaller than the sum of its proper divisors (26010670440).

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

12132303000 is a wasteful number, since it uses less digits than its factorization.

12132303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31026 (or 31012 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12132303000 its reverse (30323121), we get a palindrome (12162626121).

The spelling of 12132303000 in words is "twelve billion, one hundred thirty-two million, three hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 1000 1048 1310 1500 1572 1965 2620 3000 3144 3275 3930 5240 6550 7860 9825 13100 15720 16375 19650 26200 30871 32750 39300 49125 61742 65500 78600 92613 98250 123484 131000 154355 185226 196500 246968 308710 370452 393000 463065 617420 740904 771775 926130 1234840 1543550 1852260 2315325 3087100 3704520 3858875 4044101 4630650 6174200 7717750 8088202 9261300 11576625 12132303 15435500 16176404 18522600 20220505 23153250 24264606 30871000 32352808 40441010 46306500 48529212 60661515 80882020 92613000 97058424 101102525 121323030 161764040 202205050 242646060 303307575 404410100 485292120 505512625 606615150 808820200 1011025250 1213230300 1516537875 2022050500 2426460600 3033075750 4044101000 6066151500 12132303000