212002002003000 has 128 divisors (see below), whose sum is σ = 721577723293440. Its totient is φ = 51394424720000.

The previous prime is 212002002002981. The next prime is 212002002003031. The reversal of 212002002003000 is 300200200212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212118546 + ... + 3212184545.

It is an arithmetic number, because the mean of its divisors is an integer number (5637325963230).

Almost surely, 2^{212002002003000} is an apocalyptic number.

212002002003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002002003000 is an abundant number, since it is smaller than the sum of its proper divisors (509575721290440).

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

212002002003000 is a wasteful number, since it uses less digits than its factorization.

212002002003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424303126 (or 6424303112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 212002002003000 its reverse (300200200212), we get a palindrome (212302202203212).

The spelling of 212002002003000 in words is "two hundred twelve trillion, two billion, two million, three thousand".