1200322225440 has 384 divisors, whose sum is σ = 4634648928000. Its totient is φ = 288256942080.

The previous prime is 1200322225429. The next prime is 1200322225451. The reversal of 1200322225440 is 445222230021.

It is an interprime number because it is at equal distance from previous prime (1200322225429) and next prime (1200322225451).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 2041911 + ... + 2563209.

It is an arithmetic number, because the mean of its divisors is an integer number (12069398250).

Almost surely, 2^{1200322225440} is an apocalyptic number.

1200322225440 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 1200322225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317324464000).

1200322225440 is an abundant number, since it is smaller than the sum of its proper divisors (3434326702560).

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

1200322225440 is a wasteful number, since it uses less digits than its factorization.

1200322225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521377 (or 521363 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1200322225440 its reverse (445222230021), we get a palindrome (1645544455461).

The spelling of 1200322225440 in words is "one trillion, two hundred billion, three hundred twenty-two million, two hundred twenty-five thousand, four hundred forty".