1200342042400 has 72 divisors (see below), whose sum is σ = 2978373410964. Its totient is φ = 472265702400.

The previous prime is 1200342042391. The next prime is 1200342042409. The reversal of 1200342042400 is 42402430021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1200342042391) and next prime (1200342042409).

It can be written as a sum of positive squares in 6 ways, for example, as 168175448464 + 1032166593936 = 410092^2 + 1015956^2 .

It is not an unprimeable number, because it can be changed into a prime (1200342042409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12249787 + ... + 12347386.

Almost surely, 2^{1200342042400} is an apocalyptic number.

1200342042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200342042400 is an abundant number, since it is smaller than the sum of its proper divisors (1778031368564).

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

1200342042400 is a wasteful number, since it uses less digits than its factorization.

1200342042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24597254 (or 24597241 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1200342042400 its reverse (42402430021), we get a palindrome (1242744472421).

The spelling of 1200342042400 in words is "one trillion, two hundred billion, three hundred forty-two million, forty-two thousand, four hundred".