212010011011000 has 128 divisors (see below), whose sum is σ = 513750168509760. Its totient is φ = 81839928768000.

The previous prime is 212010011010991. The next prime is 212010011011013. The reversal of 212010011011000 is 110110010212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29555434 + ... + 36021433.

Almost surely, 2^{212010011011000} is an apocalyptic number.

212010011011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010011011000 is an abundant number, since it is smaller than the sum of its proper divisors (301740157498760).

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

212010011011000 is a wasteful number, since it uses less digits than its factorization.

212010011011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65577002 (or 65576988 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212010011011000 its reverse (110110010212), we get a palindrome (212120121021212).

The spelling of 212010011011000 in words is "two hundred twelve trillion, ten billion, eleven million, eleven thousand".