1252275930000 has 800 divisors, whose sum is σ = 4801448044800. Its totient is φ = 311288832000.

The previous prime is 1252275929969. The next prime is 1252275930011. The reversal of 1252275930000 is 395722521.

1252275930000 is a `hidden beast` number, since 12 + 52 + 2 + 7 + 593 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×1252275930000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 500308749 + ... + 500311251.

It is an arithmetic number, because the mean of its divisors is an integer number (6001810056).

Almost surely, 2^{1252275930000} is an apocalyptic number.

1252275930000 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 1252275930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400724022400).

1252275930000 is an abundant number, since it is smaller than the sum of its proper divisors (3549172114800).

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

1252275930000 is a wasteful number, since it uses less digits than its factorization.

1252275930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 1252275930000 in words is "one trillion, two hundred fifty-two billion, two hundred seventy-five million, nine hundred thirty thousand".