212106720 has 96 divisors (see below), whose sum is σ = 763596288. Its totient is φ = 48480768.

The previous prime is 212106701. The next prime is 212106733. The reversal of 212106720 is 27601212.

212106720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28204 + ... + 34923.

It is an arithmetic number, because the mean of its divisors is an integer number (7954128).

Almost surely, 2^212106720 is an apocalyptic number.

212106720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212106720 is an abundant number, since it is smaller than the sum of its proper divisors (551489568).

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

212106720 is a wasteful number, since it uses less digits than its factorization.

212106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63152 (or 63144 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 212106720 is about 14563.8840973142. The cubic root of 212106720 is about 596.3732328824.

Adding to 212106720 its reverse (27601212), we get a palindrome (239707932).

The spelling of 212106720 in words is "two hundred twelve million, one hundred six thousand, seven hundred twenty".