212033020320 has 144 divisors (see below), whose sum is σ = 789341166432. Its totient is φ = 51401940480.

The previous prime is 212033020313. The next prime is 212033020351. The reversal of 212033020320 is 23020330212.

It is a happy number.

212033020320 is a `hidden beast` number, since 2 + 12 + 0 + 330 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×212033020320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212033020293 and 212033020302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6677122 + ... + 6708801.

It is an arithmetic number, because the mean of its divisors is an integer number (5481535878).

Almost surely, 2^212033020320 is an apocalyptic number.

212033020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033020320 is an abundant number, since it is smaller than the sum of its proper divisors (577308146112).

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

212033020320 is a wasteful number, since it uses less digits than its factorization.

212033020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13385955 (or 13385944 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212033020320 its reverse (23020330212), we get a palindrome (235053350532).

The spelling of 212033020320 in words is "two hundred twelve billion, thirty-three million, twenty thousand, three hundred twenty".