1242112320 has 280 divisors, whose sum is σ = 4459995144. Its totient is φ = 328126464.

The previous prime is 1242112283. The next prime is 1242112321. The reversal of 1242112320 is 232112421.

It is a happy number.

1242112320 is a `hidden beast` number, since 12 + 421 + 1 + 232 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173606976 + 1068505344 = 13176^2 + 32688^2 .

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 = 1242112293 and 1242112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242112321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4484022 + ... + 4484298.

Almost surely, 2^1242112320 is an apocalyptic number.

1242112320 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 1242112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229997572).

1242112320 is an abundant number, since it is smaller than the sum of its proper divisors (3217882824).

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

1242112320 is a wasteful number, since it uses less digits than its factorization.

1242112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1242112320 is about 35243.6138896113. The cubic root of 1242112320 is about 1074.9467635436.

Adding to 1242112320 its reverse (232112421), we get a palindrome (1474224741).

The spelling of 1242112320 in words is "one billion, two hundred forty-two million, one hundred twelve thousand, three hundred twenty".