212032122000 has 160 divisors (see below), whose sum is σ = 684569458560. Its totient is φ = 56461017600.

The previous prime is 212032121989. The next prime is 212032122013. The reversal of 212032122000 is 221230212.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4229079 + ... + 4278921.

It is an arithmetic number, because the mean of its divisors is an integer number (4278559116).

Almost surely, 2^212032122000 is an apocalyptic number.

212032122000 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 212032122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342284729280).

212032122000 is an abundant number, since it is smaller than the sum of its proper divisors (472537336560).

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

212032122000 is a wasteful number, since it uses less digits than its factorization.

212032122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50578 (or 50562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212032122000 its reverse (221230212), we get a palindrome (212253352212).

It can be divided in two parts, 2120 and 32122000, that added together give a triangular number (32124120 = T₈₀₁₅).

The spelling of 212032122000 in words is "two hundred twelve billion, thirty-two million, one hundred twenty-two thousand".