2001233220000 has 960 divisors, whose sum is σ = 7871976161280. Its totient is φ = 435105792000.

The previous prime is 2001233219983. The next prime is 2001233220017. The reversal of 2001233220000 is 223321002.

It is an interprime number because it is at equal distance from previous prime (2001233219983) and next prime (2001233220017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2154179536 + ... + 2154180464.

It is an arithmetic number, because the mean of its divisors is an integer number (8199975168).

Almost surely, 2^{2001233220000} is an apocalyptic number.

2001233220000 is a gapful number since it is divisible by the number (20) 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 2001233220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935988080640).

2001233220000 is an abundant number, since it is smaller than the sum of its proper divisors (5870742941280).

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

2001233220000 is a wasteful number, since it uses less digits than its factorization.

2001233220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2001233220000 its reverse (223321002), we get a palindrome (2001456541002).

The spelling of 2001233220000 in words is "two trillion, one billion, two hundred thirty-three million, two hundred twenty thousand".