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1201120000 = 28547507
BaseRepresentation
bin100011110010111…
…1010001100000000
310002201010012212221
41013211322030000
54424441320000
6315104100424
741523231403
oct10745721400
93081105787
101201120000
11567001263
12296304714
13161ac71c2
14b5741d3a
15706ac61a
hex4797a300

1201120000 has 90 divisors (see below), whose sum is σ = 2996375228. Its totient is φ = 480384000.

The previous prime is 1201119949. The next prime is 1201120003. The reversal of 1201120000 is 211021.

It is not an unprimeable number, because it can be changed into a prime (1201120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 156247 + ... + 163753.

Almost surely, 21201120000 is an apocalyptic number.

1201120000 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 1201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498187614).

1201120000 is an abundant number, since it is smaller than the sum of its proper divisors (1795255228).

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

1201120000 is an frugal number, since it uses more digits than its factorization.

1201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1201120000 is about 34657.1781886523. The cubic root of 1201120000 is about 1062.9890712692.

Adding to 1201120000 its reverse (211021), we get a palindrome (1201331021).

The spelling of 1201120000 in words is "one billion, two hundred one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 7507 8000 10000 15014 16000 20000 30028 32000 37535 40000 60056 75070 80000 120112 150140 160000 187675 240224 300280 375350 480448 600560 750700 938375 960896 1201120 1501400 1876750 1921792 2402240 3002800 3753500 4691875 4804480 6005600 7507000 9383750 9608960 12011200 15014000 18767500 24022400 30028000 37535000 48044800 60056000 75070000 120112000 150140000 240224000 300280000 600560000 1201120000