1200104200240 has 320 divisors, whose sum is σ = 3464803952640. Its totient is φ = 380830187520.

The previous prime is 1200104200231. The next prime is 1200104200241. The reversal of 1200104200240 is 420024010021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1200104200241) 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 63 ways as a sum of consecutive naturals, for example, 13314364 + ... + 13404196.

It is an arithmetic number, because the mean of its divisors is an integer number (10827512352).

Almost surely, 2^{1200104200240} is an apocalyptic number.

1200104200240 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 1200104200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732401976320).

1200104200240 is an abundant number, since it is smaller than the sum of its proper divisors (2264699752400).

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

1200104200240 is a wasteful number, since it uses less digits than its factorization.

1200104200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89940 (or 89934 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1200104200240 its reverse (420024010021), we get a palindrome (1620128210261).

The spelling of 1200104200240 in words is "one trillion, two hundred billion, one hundred four million, two hundred thousand, two hundred forty".