1252152000 has 896 divisors, whose sum is σ = 5477621760. Its totient is φ = 276480000.

The previous prime is 1252151987. The next prime is 1252152007. The reversal of 1252152000 is 2512521.

1252152000 is a `hidden beast` number, since 125 + 21 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×1252152000² = 3135769262208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252152007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 40391985 + ... + 40392015.

Almost surely, 2^1252152000 is an apocalyptic number.

1252152000 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 1252152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738810880).

1252152000 is an abundant number, since it is smaller than the sum of its proper divisors (4225469760).

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

1252152000 is a wasteful number, since it uses less digits than its factorization.

1252152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1252152000 is about 35385.7598477128. The cubic root of 1252152000 is about 1077.8351697295.

Adding to 1252152000 its reverse (2512521), we get a palindrome (1254664521).

The spelling of 1252152000 in words is "one billion, two hundred fifty-two million, one hundred fifty-two thousand".