1242149040 has 320 divisors, whose sum is σ = 4872545280. Its totient is φ = 287907840.

The previous prime is 1242149003. The next prime is 1242149053. The reversal of 1242149040 is 409412421.

It is a happy number.

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 = 1242148995 and 1242149013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545344 + ... + 547616.

It is an arithmetic number, because the mean of its divisors is an integer number (15226704).

Almost surely, 2^1242149040 is an apocalyptic number.

1242149040 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 1242149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436272640).

1242149040 is an abundant number, since it is smaller than the sum of its proper divisors (3630396240).

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

1242149040 is a wasteful number, since it uses less digits than its factorization.

1242149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1242149040 is about 35244.1348312028. The cubic root of 1242149040 is about 1074.9573561595.

The spelling of 1242149040 in words is "one billion, two hundred forty-two million, one hundred forty-nine thousand, forty".