212033920 has 256 divisors, whose sum is σ = 634521600. Its totient is φ = 66134016.

The previous prime is 212033917. The next prime is 212033929. The reversal of 212033920 is 29330212.

212033920 = T₄₅₁ + T₄₅₂ + ... + T₁₁₀₈.

It is a junction number, because it is equal to n+sod(n) for n = 212033891 and 212033900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4000614 + ... + 4000666.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^212033920 is an apocalyptic number.

212033920 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 212033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

212033920 is an abundant number, since it is smaller than the sum of its proper divisors (422487680).

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

212033920 is a wasteful number, since it uses less digits than its factorization.

212033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 212033920 is about 14561.3845495543. The cubic root of 212033920 is about 596.3049953156.

It can be divided in two parts, 2120 and 33920, that multiplied together give a square (71910400 = 8480²).

The spelling of 212033920 in words is "two hundred twelve million, thirty-three thousand, nine hundred twenty".