1200321412000 has 144 divisors (see below), whose sum is σ = 3022892525016. Its totient is φ = 468415488000.

The previous prime is 1200321411979. The next prime is 1200321412039. The reversal of 1200321412000 is 2141230021.

It can be written as a sum of positive squares in 12 ways, for example, as 323528889616 + 876792522384 = 568796^2 + 936372^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6634744 + ... + 6813256.

Almost surely, 2^{1200321412000} is an apocalyptic number.

1200321412000 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 1200321412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511446262508).

1200321412000 is an abundant number, since it is smaller than the sum of its proper divisors (1822571113016).

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

1200321412000 is an equidigital number, since it uses as much as digits as its factorization.

1200321412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178620 (or 178561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1200321412000 its reverse (2141230021), we get a palindrome (1202462642021).

The spelling of 1200321412000 in words is "one trillion, two hundred billion, three hundred twenty-one million, four hundred twelve thousand".