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1200223013000 = 235311110998387
BaseRepresentation
bin10001011101110010110…
…111011100100010001000
311020201222121100100022012
4101131302313130202020
5124131024042404000
62315212544315052
7152466434165504
oct21356267344210
94221877310265
101200223013000
11423014668060
12174740312a88
138924686b96b
144213bdbb304
152134958d735
hex11772ddc888

1200223013000 has 128 divisors (see below), whose sum is σ = 3066635894400. Its totient is φ = 436046752000.

The previous prime is 1200223012927. The next prime is 1200223013089. The reversal of 1200223013000 is 3103220021.

It is a happy 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, 12149807 + ... + 12248193.

It is an arithmetic number, because the mean of its divisors is an integer number (23958092925).

Almost surely, 21200223013000 is an apocalyptic number.

1200223013000 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 1200223013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533317947200).

1200223013000 is an abundant number, since it is smaller than the sum of its proper divisors (1866412881400).

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

1200223013000 is a wasteful number, since it uses less digits than its factorization.

1200223013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99528 (or 99514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1200223013000 its reverse (3103220021), we get a palindrome (1203326233021).

The spelling of 1200223013000 in words is "one trillion, two hundred billion, two hundred twenty-three million, thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1109 1375 2200 2218 2750 4436 5500 5545 8872 11000 11090 12199 22180 24398 27725 44360 48796 55450 60995 97592 98387 110900 121990 138625 196774 221800 243980 277250 304975 393548 487960 491935 554500 609950 787096 983870 1082257 1109000 1219900 1524875 1967740 2164514 2439800 2459675 3049750 3935480 4329028 4919350 5411285 6099500 8658056 9838700 10822570 12199000 12298375 19677400 21645140 24596750 27056425 43290280 49193500 54112850 98387000 108225700 109111183 135282125 216451400 218222366 270564250 436444732 541128500 545555915 872889464 1082257000 1091111830 1200223013 2182223660 2400446026 2727779575 4364447320 4800892052 5455559150 6001115065 9601784104 10911118300 12002230130 13638897875 21822236600 24004460260 27277795750 30005575325 48008920520 54555591500 60011150650 109111183000 120022301300 150027876625 240044602600 300055753250 600111506500 1200223013000