1242180576 has 576 divisors, whose sum is σ = 4737821760. Its totient is φ = 313528320.

The previous prime is 1242180503. The next prime is 1242180581. The reversal of 1242180576 is 6750812421.

1242180576 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 1 + 80 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1242180576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20363586 + ... + 20363646.

It is an arithmetic number, because the mean of its divisors is an integer number (8225385).

Almost surely, 2^1242180576 is an apocalyptic number.

1242180576 is a gapful number since it is divisible by the number (16) 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 1242180576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368910880).

1242180576 is an abundant number, since it is smaller than the sum of its proper divisors (3495641184).

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

1242180576 is a wasteful number, since it uses less digits than its factorization.

1242180576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1242180576 is about 35244.5822219529. The cubic root of 1242180576 is about 1074.9664531806.

Adding to 1242180576 its reverse (6750812421), we get a palindrome (7992992997).

The spelling of 1242180576 in words is "one billion, two hundred forty-two million, one hundred eighty thousand, five hundred seventy-six".