212485152 has 96 divisors (see below), whose sum is σ = 611380224. Its totient is φ = 64083200.

The previous prime is 212485127. The next prime is 212485153. The reversal of 212485152 is 251584212.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (212485153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328093 + ... + 328739.

It is an arithmetic number, because the mean of its divisors is an integer number (6368544).

Almost surely, 2^212485152 is an apocalyptic number.

212485152 is a gapful number since it is divisible by the number (22) 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 212485152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305690112).

212485152 is an abundant number, since it is smaller than the sum of its proper divisors (398895072).

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

212485152 is a wasteful number, since it uses less digits than its factorization.

212485152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 212485152 is about 14576.8704460182. The cubic root of 212485152 is about 596.7276969431.

The spelling of 212485152 in words is "two hundred twelve million, four hundred eighty-five thousand, one hundred fifty-two".