1200220112000 has 512 divisors, whose sum is σ = 3747848832000. Its totient is φ = 379827302400.

The previous prime is 1200220111957. The next prime is 1200220112027. The reversal of 1200220112000 is 2110220021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71335589 + ... + 71352411.

It is an arithmetic number, because the mean of its divisors is an integer number (7320017250).

Almost surely, 2^{1200220112000} is an apocalyptic number.

1200220112000 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 1200220112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873924416000).

1200220112000 is an abundant number, since it is smaller than the sum of its proper divisors (2547628720000).

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

1200220112000 is an equidigital number, since it uses as much as digits as its factorization.

1200220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16886 (or 16850 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1200220112000 its reverse (2110220021), we get a palindrome (1202330332021).

The spelling of 1200220112000 in words is "one trillion, two hundred billion, two hundred twenty million, one hundred twelve thousand".