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1223120132320 = 255431016592671
BaseRepresentation
bin10001110011000111101…
…001000001100011100000
311022221002100022112010111
4101303013221001203200
5130014422223213240
62333521005141104
7154240025404432
oct21630751014340
94287070275114
101223120132320
114317a4478769
1217907055a794
138b455519088
14432b0d68652
1521c3982a1ea
hex11cc7a418e0

1223120132320 has 192 divisors, whose sum is σ = 2991748193280. Its totient is φ = 472243968000.

The previous prime is 1223120132317. The next prime is 1223120132357. The reversal of 1223120132320 is 232310213221.

It is a junction number, because it is equal to n+sod(n) for n = 1223120132291 and 1223120132300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457924585 + ... + 457927255.

It is an arithmetic number, because the mean of its divisors is an integer number (15582021840).

Almost surely, 21223120132320 is an apocalyptic number.

1223120132320 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 1223120132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495874096640).

1223120132320 is an abundant number, since it is smaller than the sum of its proper divisors (1768628060960).

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

1223120132320 is a wasteful number, since it uses less digits than its factorization.

1223120132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1223120132320 its reverse (232310213221), we get a palindrome (1455430345541).

The spelling of 1223120132320 in words is "one trillion, two hundred twenty-three billion, one hundred twenty million, one hundred thirty-two thousand, three hundred twenty".