1233420320 has 96 divisors (see below), whose sum is σ = 3190440960. Its totient is φ = 446883840.

The previous prime is 1233420301. The next prime is 1233420323. The reversal of 1233420320 is 230243321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1233420292 and 1233420301.

It is not an unprimeable number, because it can be changed into a prime (1233420323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549761 + ... + 551999.

It is an arithmetic number, because the mean of its divisors is an integer number (33233760).

Almost surely, 2^1233420320 is an apocalyptic number.

1233420320 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 1233420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595220480).

1233420320 is an abundant number, since it is smaller than the sum of its proper divisors (1957020640).

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

1233420320 is a wasteful number, since it uses less digits than its factorization.

1233420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1233420320 is about 35120.0842823590. The cubic root of 1233420320 is about 1072.4334866009.

Adding to 1233420320 its reverse (230243321), we get a palindrome (1463663641).

The spelling of 1233420320 in words is "one billion, two hundred thirty-three million, four hundred twenty thousand, three hundred twenty".