1220133312000 has 480 divisors, whose sum is σ = 4513545694944. Its totient is φ = 316569600000.

The previous prime is 1220133311989. The next prime is 1220133312001. The reversal of 1220133312000 is 2133310221.

1220133312000 is a `hidden beast` number, since 1 + 220 + 133 + 312 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220133312001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21283375 + ... + 21340625.

Almost surely, 2^{1220133312000} is an apocalyptic number.

1220133312000 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 1220133312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256772847472).

1220133312000 is an abundant number, since it is smaller than the sum of its proper divisors (3293412382944).

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

1220133312000 is an equidigital number, since it uses as much as digits as its factorization.

1220133312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57327 (or 57298 counting only the distinct ones).

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

Adding to 1220133312000 its reverse (2133310221), we get a palindrome (1222266622221).

The spelling of 1220133312000 in words is "one trillion, two hundred twenty billion, one hundred thirty-three million, three hundred twelve thousand".