1252414350000 has 360 divisors, whose sum is σ = 4779286699824. Its totient is φ = 303614400000.

The previous prime is 1252414349981. The next prime is 1252414350097. The reversal of 1252414350000 is 534142521.

1252414350000 is a `hidden beast` number, since 12 + 5 + 2 + 4 + 143 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4823494 + ... + 5076506.

Almost surely, 2^{1252414350000} is an apocalyptic number.

1252414350000 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 1252414350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389643349912).

1252414350000 is an abundant number, since it is smaller than the sum of its proper divisors (3526872349824).

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

1252414350000 is a wasteful number, since it uses less digits than its factorization.

1252414350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253063 (or 253034 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1252414350000 its reverse (534142521), we get a palindrome (1252948492521).

The spelling of 1252414350000 in words is "one trillion, two hundred fifty-two billion, four hundred fourteen million, three hundred fifty thousand".