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1201120200 = 233252795327
BaseRepresentation
bin100011110010111…
…1010001111001000
310002201010020011100
41013211322033020
54424441321300
6315104101400
741523232110
oct10745721710
93081106140
101201120200
11567001425
12296304860
13161ac7317
14b5742040
15706ac700
hex4797a3c8

1201120200 has 144 divisors (see below), whose sum is σ = 4610062080. Its totient is φ = 274538880.

The previous prime is 1201120181. The next prime is 1201120201. The reversal of 1201120200 is 20211021.

1201120200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1201120201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35064 + ... + 60263.

It is an arithmetic number, because the mean of its divisors is an integer number (32014320).

Almost surely, 21201120200 is an apocalyptic number.

1201120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201120200 is an abundant number, since it is smaller than the sum of its proper divisors (3408941880).

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

1201120200 is a wasteful number, since it uses less digits than its factorization.

1201120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95356 (or 95344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201120200 is about 34657.1810740574. The cubic root of 1201120200 is about 1062.9891302691.

Adding to 1201120200 its reverse (20211021), we get a palindrome (1221331221).

The spelling of 1201120200 in words is "one billion, two hundred one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 95327 190654 285981 381308 476635 571962 667289 762616 857943 953270 1143924 1334578 1429905 1715886 1906540 2001867 2287848 2383175 2669156 2859810 3336445 3431772 3813080 4003734 4289715 4766350 5338312 5719620 6005601 6672890 6863544 7149525 8007468 8579430 9532700 10009335 11439240 12011202 13345780 14299050 16014936 16682225 17158860 19065400 20018670 21448575 24022404 26691560 28598100 30028005 33364450 34317720 40037340 42897150 48044808 50046675 57196200 60056010 66728900 80074680 85794300 100093350 120112020 133457800 150140025 171588600 200186700 240224040 300280050 400373400 600560100 1201120200