1212445042400 has 144 divisors (see below), whose sum is σ = 3094041968640. Its totient is φ = 463391884800.

The previous prime is 1212445042399. The next prime is 1212445042409. The reversal of 1212445042400 is 42405442121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212445042409) 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 23 ways as a sum of consecutive naturals, for example, 1649777 + ... + 2268623.

It is an arithmetic number, because the mean of its divisors is an integer number (21486402560).

Almost surely, 2^{1212445042400} is an apocalyptic number.

1212445042400 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 1212445042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547020984320).

1212445042400 is an abundant number, since it is smaller than the sum of its proper divisors (1881596926240).

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

1212445042400 is a wasteful number, since it uses less digits than its factorization.

1212445042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618977 (or 618964 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The spelling of 1212445042400 in words is "one trillion, two hundred twelve billion, four hundred forty-five million, forty-two thousand, four hundred".