1242528000 has 432 divisors, whose sum is σ = 4828876416. Its totient is φ = 277401600.

The previous prime is 1242527989. The next prime is 1242528029. The reversal of 1242528000 is 8252421.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28895979 + ... + 28896021.

Almost surely, 2^1242528000 is an apocalyptic number.

1242528000 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 1242528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414438208).

1242528000 is an abundant number, since it is smaller than the sum of its proper divisors (3586348416).

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

1242528000 is an frugal number, since it uses more digits than its factorization.

1242528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1242528000 is about 35249.5106349010. The cubic root of 1242528000 is about 1075.0666625327.

The spelling of 1242528000 in words is "one billion, two hundred forty-two million, five hundred twenty-eight thousand".