1252661356128 has 288 divisors, whose sum is σ = 4133941733376. Its totient is φ = 329200284672.

The previous prime is 1252661356127. The next prime is 1252661356153. The reversal of 1252661356128 is 8216531662521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252661356127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17269825 + ... + 17342207.

It is an arithmetic number, because the mean of its divisors is an integer number (14353964352).

Almost surely, 2^{1252661356128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252661356128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066970866688).

1252661356128 is an abundant number, since it is smaller than the sum of its proper divisors (2881280377248).

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

1252661356128 is a wasteful number, since it uses less digits than its factorization.

1252661356128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72706 (or 72691 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 1252661356128 in words is "one trillion, two hundred fifty-two billion, six hundred sixty-one million, three hundred fifty-six thousand, one hundred twenty-eight".