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2012112321000 = 233533971689431
BaseRepresentation
bin11101010001111011001…
…111010111100111101000
321010100121120022111202120
4131101323033113213220
5230431301223233000
64140203542031240
7265241006351205
oct35217317274750
97110546274676
102012112321000
11706371a49931
12285b64418520
13117983a64812
146d55b388cac
15375165386a0
hex1d47b3d79e8

2012112321000 has 128 divisors (see below), whose sum is σ = 6293607240960. Its totient is φ = 535211424000.

The previous prime is 2012112320983. The next prime is 2012112321001. The reversal of 2012112321000 is 1232112102.

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

It is not an unprimeable number, because it can be changed into a prime (2012112321001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346285 + ... + 2035715.

It is an arithmetic number, because the mean of its divisors is an integer number (49168806570).

Almost surely, 22012112321000 is an apocalyptic number.

2012112321000 is a gapful number since it is divisible by the number (20) 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 2012112321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146803620480).

2012112321000 is an abundant number, since it is smaller than the sum of its proper divisors (4281494919960).

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

2012112321000 is a wasteful number, since it uses less digits than its factorization.

2012112321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689852 (or 1689838 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2012112321000 its reverse (1232112102), we get a palindrome (2013344433102).

The spelling of 2012112321000 in words is "two trillion, twelve billion, one hundred twelve million, three hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 397 500 600 750 794 1000 1191 1500 1588 1985 2382 3000 3176 3970 4764 5955 7940 9528 9925 11910 15880 19850 23820 29775 39700 47640 49625 59550 79400 99250 119100 148875 198500 238200 297750 397000 595500 1191000 1689431 3378862 5068293 6757724 8447155 10136586 13515448 16894310 20273172 25341465 33788620 40546344 42235775 50682930 67577240 84471550 101365860 126707325 168943100 202731720 211178875 253414650 337886200 422357750 506829300 633536625 670704107 844715500 1013658600 1267073250 1341408214 1689431000 2012112321 2534146500 2682816428 3353520535 4024224642 5068293000 5365632856 6707041070 8048449284 10060561605 13414082140 16096898568 16767602675 20121123210 26828164280 33535205350 40242246420 50302808025 67070410700 80484492840 83838013375 100605616050 134140821400 167676026750 201211232100 251514040125 335352053500 402422464200 503028080250 670704107000 1006056160500 2012112321000