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1232111031120 = 2432529101584249
BaseRepresentation
bin10001111011011111100…
…010100101001101010000
311100210021221021111122100
4101323133202211031100
5130141330410443440
62342005103240400
7155005600651404
oct21733742451520
94323257244570
101232111031120
11435598613042
1217a95b5a9100
138c259130938
14438c5091104
15220b3d0a230
hex11edf8a5350

1232111031120 has 240 divisors, whose sum is σ = 4322912490000. Its totient is φ = 314091724800.

The previous prime is 1232111031071. The next prime is 1232111031131. The reversal of 1232111031120 is 211301112321.

1232111031120 is a `hidden beast` number, since 1 + 2 + 321 + 1 + 10 + 311 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55398095424 + 1176712935696 = 235368^2 + 1084764^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1232111031093 and 1232111031102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816756 + ... + 2401004.

It is an arithmetic number, because the mean of its divisors is an integer number (18012135375).

Almost surely, 21232111031120 is an apocalyptic number.

1232111031120 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 1232111031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161456245000).

1232111031120 is an abundant number, since it is smaller than the sum of its proper divisors (3090801458880).

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

1232111031120 is a wasteful number, since it uses less digits than its factorization.

1232111031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584398 (or 584389 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1232111031120 its reverse (211301112321), we get a palindrome (1443412143441).

The spelling of 1232111031120 in words is "one trillion, two hundred thirty-two billion, one hundred eleven million, thirty-one thousand, one hundred twenty".