1252743212160 has 768 divisors, whose sum is σ = 4938667269120. Its totient is φ = 289839513600.

The previous prime is 1252743212107. The next prime is 1252743212173. The reversal of 1252743212160 is 612123472521.

1252743212160 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 7 + 432 + 1 + 216 + 0 = 666.

It is a super-2 number, since 2×1252743212160² (a number of 25 digits) contains 22 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143379312 + ... + 143388048.

It is an arithmetic number, because the mean of its divisors is an integer number (6430556340).

Almost surely, 2^{1252743212160} is an apocalyptic number.

1252743212160 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 1252743212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469333634560).

1252743212160 is an abundant number, since it is smaller than the sum of its proper divisors (3685924056960).

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

1252743212160 is a wasteful number, since it uses less digits than its factorization.

1252743212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 1252743212160 its reverse (612123472521), we get a palindrome (1864866684681).

The spelling of 1252743212160 in words is "one trillion, two hundred fifty-two billion, seven hundred forty-three million, two hundred twelve thousand, one hundred sixty".