1242724032 has 560 divisors, whose sum is σ = 4484705280. Its totient is φ = 335923200.

The previous prime is 1242724031. The next prime is 1242724081. The reversal of 1242724032 is 2304272421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1242723987 and 1242724005.

It is not an unprimeable number, because it can be changed into a prime (1242724031) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33587118 + ... + 33587154.

Almost surely, 2^1242724032 is an apocalyptic number.

1242724032 is a gapful number since it is divisible by the number (12) 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 1242724032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242352640).

1242724032 is an abundant number, since it is smaller than the sum of its proper divisors (3241981248).

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

1242724032 is a wasteful number, since it uses less digits than its factorization.

1242724032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1242724032 is about 35252.2911595828. The cubic root of 1242724032 is about 1075.1231968418.

Adding to 1242724032 its reverse (2304272421), we get a palindrome (3546996453).

The spelling of 1242724032 in words is "one billion, two hundred forty-two million, seven hundred twenty-four thousand, thirty-two".