1252870141248 has 840 divisors, whose sum is σ = 4187032967040. Its totient is φ = 370062950400.

The previous prime is 1252870141241. The next prime is 1252870141261. The reversal of 1252870141248 is 8421410782521.

1252870141248 is a `hidden beast` number, since 1 + 2 + 528 + 70 + 1 + 4 + 12 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252870141241) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 6491555040 + ... + 6491555232.

It is an arithmetic number, because the mean of its divisors is an integer number (4984563056).

Almost surely, 2^{1252870141248} is an apocalyptic number.

1252870141248 is a gapful number since it is divisible by the number (18) 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 1252870141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093516483520).

1252870141248 is an abundant number, since it is smaller than the sum of its proper divisors (2934162825792).

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

1252870141248 is a wasteful number, since it uses less digits than its factorization.

1252870141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 1252870141248 in words is "one trillion, two hundred fifty-two billion, eight hundred seventy million, one hundred forty-one thousand, two hundred forty-eight".