1252231411200 has 480 divisors, whose sum is σ = 5157416689920. Its totient is φ = 260203315200.

The previous prime is 1252231411183. The next prime is 1252231411279. The reversal of 1252231411200 is 21141322521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 2745046 + ... + 3168554.

It is an arithmetic number, because the mean of its divisors is an integer number (10744618104).

Almost surely, 2^{1252231411200} is an apocalyptic number.

1252231411200 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 1252231411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578708344960).

1252231411200 is an abundant number, since it is smaller than the sum of its proper divisors (3905185278720).

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

1252231411200 is a wasteful number, since it uses less digits than its factorization.

1252231411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423558 (or 423537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1252231411200 its reverse (21141322521), we get a palindrome (1273372733721).

The spelling of 1252231411200 in words is "one trillion, two hundred fifty-two billion, two hundred thirty-one million, four hundred eleven thousand, two hundred".