1242414031200 has 288 divisors, whose sum is σ = 4174934099616. Its totient is φ = 320681410560.

The previous prime is 1242414031193. The next prime is 1242414031241. The reversal of 1242414031200 is 21304142421.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17102154 + ... + 17174646.

It is an arithmetic number, because the mean of its divisors is an integer number (14496298957).

Almost surely, 2^{1242414031200} is an apocalyptic number.

1242414031200 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 1242414031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087467049808).

1242414031200 is an abundant number, since it is smaller than the sum of its proper divisors (2932520068416).

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

1242414031200 is a wasteful number, since it uses less digits than its factorization.

1242414031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72746 (or 72733 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1242414031200 its reverse (21304142421), we get a palindrome (1263718173621).

The spelling of 1242414031200 in words is "one trillion, two hundred forty-two billion, four hundred fourteen million, thirty-one thousand, two hundred".