212472960 has 128 divisors (see below), whose sum is σ = 774057600. Its totient is φ = 48562176.

The previous prime is 212472901. The next prime is 212472979. The reversal of 212472960 is 69274212.

It is a tau number, because it is divible by the number of its divisors (128).

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, 5536 + ... + 21344.

It is an arithmetic number, because the mean of its divisors is an integer number (6047325).

Almost surely, 2^212472960 is an apocalyptic number.

212472960 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 212472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387028800).

212472960 is an abundant number, since it is smaller than the sum of its proper divisors (561584640).

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

212472960 is a wasteful number, since it uses less digits than its factorization.

212472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15838 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 212472960 is about 14576.4522432586. The cubic root of 212472960 is about 596.7162836857.

The spelling of 212472960 in words is "two hundred twelve million, four hundred seventy-two thousand, nine hundred sixty".