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12312003022000 = 2453111721325181
BaseRepresentation
bin1011001100101001110010…
…0100010000110010110000
31121121000102122210211021221
42303022130210100302300
53103204440233201000
642104020041354424
72410340624646163
oct263123444206260
947530378724257
1012312003022000
113a175448071a0
12146a194a98a14
136b402b1a0676
14307c92cc7ada
151653e424a61a
hexb329c910cb0

12312003022000 has 160 divisors (see below), whose sum is σ = 32495796260928. Its totient is φ = 4474476800000.

The previous prime is 12312003021971. The next prime is 12312003022003. The reversal of 12312003022000 is 22030021321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12312003022003) 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, 37699410 + ... + 38024590.

Almost surely, 212312003022000 is an apocalyptic number.

12312003022000 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 12312003022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16247898130464).

12312003022000 is an abundant number, since it is smaller than the sum of its proper divisors (20183793238928).

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

12312003022000 is a wasteful number, since it uses less digits than its factorization.

12312003022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326936 (or 326920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12312003022000 its reverse (22030021321), we get a palindrome (12334033043321).

The spelling of 12312003022000 in words is "twelve trillion, three hundred twelve billion, three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 1721 2000 2200 2750 3442 4400 5500 6884 8605 11000 13768 17210 18931 22000 27536 34420 37862 43025 68840 75724 86050 94655 137680 151448 172100 189310 215125 302896 325181 344200 378620 430250 473275 650362 688400 757240 860500 946550 1300724 1514480 1625905 1721000 1893100 2366375 2601448 3251810 3442000 3576991 3786200 4732750 5202896 6503620 7153982 7572400 8129525 9465500 13007240 14307964 16259050 17884955 18931000 26014480 28615928 32518100 35769910 37862000 40647625 57231856 65036200 71539820 81295250 89424775 130072400 143079640 162590500 178849550 286159280 325181000 357699100 447123875 559636501 650362000 715398200 894247750 1119273002 1430796400 1788495500 2238546004 2798182505 3576991000 4477092008 5596365010 6156001511 7153982000 8954184016 11192730020 12312003022 13990912525 22385460040 24624006044 27981825050 30780007555 44770920080 49248012088 55963650100 61560015110 69954562625 98496024176 111927300200 123120030220 139909125250 153900037775 223854600400 246240060440 279818250500 307800075550 492480120880 559636501000 615600151100 769500188875 1119273002000 1231200302200 1539000377750 2462400604400 3078000755500 6156001511000 12312003022000