1257852212352 has 512 divisors, whose sum is σ = 3947664384000. Its totient is φ = 393471074304.

The previous prime is 1257852212347. The next prime is 1257852212359. The reversal of 1257852212352 is 2532122587521.

It is a happy number.

1257852212352 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 85 + 2 + 212 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1257852212298 and 1257852212307.

It is not an unprimeable number, because it can be changed into a prime (1257852212359) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386826683 + ... + 1386827589.

It is an arithmetic number, because the mean of its divisors is an integer number (7710282000).

Almost surely, 2^{1257852212352} is an apocalyptic number.

1257852212352 is a gapful number since it is divisible by the number (12) 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 1257852212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973832192000).

1257852212352 is an abundant number, since it is smaller than the sum of its proper divisors (2689812171648).

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

1257852212352 is a wasteful number, since it uses less digits than its factorization.

1257852212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1247 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

Adding to 1257852212352 its reverse (2532122587521), we get a palindrome (3789974799873).

The spelling of 1257852212352 in words is "one trillion, two hundred fifty-seven billion, eight hundred fifty-two million, two hundred twelve thousand, three hundred fifty-two".