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12011200000 = 29557507
BaseRepresentation
bin10110010111110110…
…00101111000000000
31011000002012011212021
423023323011320000
5144044331400000
65303505411224
7603435341542
oct131373057000
934002164767
1012011200000
115104011378
1223b2639b14
131195586647
1481d2d5692
154a473411a
hex2cbec5e00

12011200000 has 120 divisors (see below), whose sum is σ = 30000751704. Its totient is φ = 4803840000.

The previous prime is 12011199983. The next prime is 12011200027. The reversal of 12011200000 is 211021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1596247 + ... + 1603753.

Almost surely, 212011200000 is an apocalyptic number.

12011200000 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 12011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000375852).

12011200000 is an abundant number, since it is smaller than the sum of its proper divisors (17989551704).

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

12011200000 is an frugal number, since it uses more digits than its factorization.

12011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7550 (or 7514 counting only the distinct ones).

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

Adding to 12011200000 its reverse (211021), we get a palindrome (12011411021).

The spelling of 12011200000 in words is "twelve billion, eleven million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 7507 8000 10000 12500 12800 15014 16000 20000 25000 30028 32000 37535 40000 50000 60056 64000 75070 80000 100000 120112 150140 160000 187675 200000 240224 300280 320000 375350 400000 480448 600560 750700 800000 938375 960896 1201120 1501400 1600000 1876750 1921792 2402240 3002800 3753500 3843584 4691875 4804480 6005600 7507000 9383750 9608960 12011200 15014000 18767500 19217920 23459375 24022400 30028000 37535000 46918750 48044800 60056000 75070000 93837500 96089600 120112000 150140000 187675000 240224000 300280000 375350000 480448000 600560000 750700000 1201120000 1501400000 2402240000 3002800000 6005600000 12011200000