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BaseRepresentation
bin100100011101010…
…1000110100110000
310011020220122211000
41020322220310300
510001133043440
6321220122000
742213100014
oct11072506460
93136818730
101223331120
115785a1860
122a1836300
131665a2b8b
14b8684544
15725e8730
hex48ea8d30

1223331120 has 160 divisors (see below), whose sum is σ = 4596848640. Its totient is φ = 296559360.

The previous prime is 1223331113. The next prime is 1223331133. The reversal of 1223331120 is 211333221.

Adding to 1223331120 its reverse (211333221), we get a palindrome (1434664341).

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 = 1223331093 and 1223331102.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1984 + ... + 49503.

It is an arithmetic number, because the mean of its divisors is an integer number (28730304).

Almost surely, 21223331120 is an apocalyptic number.

1223331120 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 1223331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298424320).

1223331120 is an abundant number, since it is smaller than the sum of its proper divisors (3373517520).

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

1223331120 is a wasteful number, since it uses less digits than its factorization.

1223331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51520 (or 51508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1223331120 is about 34976.1507316057. The cubic root of 1223331120 is about 1069.5013602307.

The spelling of 1223331120 in words is "one billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty".