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1232120000 = 265430803
BaseRepresentation
bin100100101110000…
…1010100011000000
310011212110011220002
41021130022203000
510010410320000
6322132335132
742350563406
oct11134124300
93155404802
101232120000
11582554aa1
122a47744a8
1316835c3b7
14b98d1476
15732828d5
hex4970a8c0

1232120000 has 70 divisors (see below), whose sum is σ = 3055356348. Its totient is φ = 492832000.

The previous prime is 1232119981. The next prime is 1232120003. The reversal of 1232120000 is 212321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1232120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 24599 + ... + 55401.

Almost surely, 21232120000 is an apocalyptic number.

1232120000 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 1232120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527678174).

1232120000 is an abundant number, since it is smaller than the sum of its proper divisors (1823236348).

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

1232120000 is an frugal number, since it uses more digits than its factorization.

1232120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30835 (or 30810 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1232120000 is about 35101.5669165922. The cubic root of 1232120000 is about 1072.0564869618.

Adding to 1232120000 its reverse (212321), we get a palindrome (1232332321).

The spelling of 1232120000 in words is "one billion, two hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 30803 40000 61606 123212 154015 246424 308030 492848 616060 770075 985696 1232120 1540150 1971392 2464240 3080300 3850375 4928480 6160600 7700750 9856960 12321200 15401500 19251875 24642400 30803000 38503750 49284800 61606000 77007500 123212000 154015000 246424000 308030000 616060000 1232120000