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12033312213000 = 2335313308546467
BaseRepresentation
bin1010111100011011100101…
…0011001100100000001000
31120121101002012212212020010
42233012321103030200020
53034123210411304000
641332005522231520
72351243460111021
oct257067123144010
946541065785203
1012033312213000
11391a332044551
121424177ab55a0
13693976051c20
142d85b5ca1c48
1515d032710d50
hexaf1b94cc808

12033312213000 has 128 divisors (see below), whose sum is σ = 40431929166720. Its totient is φ = 2962046073600.

The previous prime is 12033312212959. The next prime is 12033312213073. The reversal of 12033312213000 is 31221333021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154234234 + ... + 154312233.

It is an arithmetic number, because the mean of its divisors is an integer number (315874446615).

Almost surely, 212033312213000 is an apocalyptic number.

12033312213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033312213000 is an abundant number, since it is smaller than the sum of its proper divisors (28398616953720).

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

12033312213000 is a wasteful number, since it uses less digits than its factorization.

12033312213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308546504 (or 308546490 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12033312213000 its reverse (31221333021), we get a palindrome (12064533546021).

The spelling of 12033312213000 in words is "twelve trillion, thirty-three billion, three hundred twelve million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 308546467 617092934 925639401 1234185868 1542732335 1851278802 2468371736 3085464670 3702557604 4011104071 4628197005 6170929340 7405115208 7713661675 8022208142 9256394010 12033312213 12341858680 15427323350 16044416284 18512788020 20055520355 23140985025 24066624426 30854646700 32088832568 37025576040 38568308375 40111040710 46281970050 48133248852 60166561065 61709293400 77136616750 80222081420 92563940100 96266497704 100277601775 115704925125 120333122130 154273233500 160444162840 185127880200 200555203550 231409850250 240666244260 300832805325 308546467000 401110407100 462819700500 481332488520 501388008875 601665610650 802220814200 925639401000 1002776017750 1203331221300 1504164026625 2005552035500 2406662442600 3008328053250 4011104071000 6016656106500 12033312213000