1252141200 has 240 divisors, whose sum is σ = 4483641600. Its totient is φ = 331891200.

The previous prime is 1252141169. The next prime is 1252141217. The reversal of 1252141200 is 21412521.

1252141200 is a `hidden beast` number, since 1 + 252 + 1 + 412 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 2904985 + ... + 2905415.

It is an arithmetic number, because the mean of its divisors is an integer number (18681840).

Almost surely, 2^1252141200 is an apocalyptic number.

1252141200 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 1252141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241820800).

1252141200 is an abundant number, since it is smaller than the sum of its proper divisors (3231500400).

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

1252141200 is a wasteful number, since it uses less digits than its factorization.

1252141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1252141200 is about 35385.6072436238. The cubic root of 1252141200 is about 1077.8320708903.

Adding to 1252141200 its reverse (21412521), we get a palindrome (1273553721).

The spelling of 1252141200 in words is "one billion, two hundred fifty-two million, one hundred forty-one thousand, two hundred".