212033011000 has 64 divisors (see below), whose sum is σ = 504291116160. Its totient is φ = 83422800000.

The previous prime is 212033010991. The next prime is 212033011009. The reversal of 212033011000 is 110330212.

It is an interprime number because it is at equal distance from previous prime (212033010991) and next prime (212033011009).

It is a super-2 number, since 2×212033011000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033011009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676976 + ... + 1798975.

It is an arithmetic number, because the mean of its divisors is an integer number (7879548690).

Almost surely, 2^212033011000 is an apocalyptic number.

212033011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033011000 is an abundant number, since it is smaller than the sum of its proper divisors (292258105160).

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

212033011000 is a wasteful number, since it uses less digits than its factorization.

212033011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476033 (or 3476019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 212033011000 its reverse (110330212), we get a palindrome (212143341212).

The spelling of 212033011000 in words is "two hundred twelve billion, thirty-three million, eleven thousand".