1220333112000 has 672 divisors, whose sum is σ = 4534572144960. Its totient is φ = 313008537600.

The previous prime is 1220333111989. The next prime is 1220333112017. The reversal of 1220333112000 is 2113330221.

1220333112000 is a `hidden beast` number, since 1 + 220 + 333 + 112 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237093427 + ... + 237098573.

Almost surely, 2^{1220333112000} is an apocalyptic number.

1220333112000 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 1220333112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267286072480).

1220333112000 is an abundant number, since it is smaller than the sum of its proper divisors (3314239032960).

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

1220333112000 is a wasteful number, since it uses less digits than its factorization.

1220333112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1220333112000 its reverse (2113330221), we get a palindrome (1222446442221).

The spelling of 1220333112000 in words is "one trillion, two hundred twenty billion, three hundred thirty-three million, one hundred twelve thousand".