212133972480 has 320 divisors, whose sum is σ = 719542517760. Its totient is φ = 53165113344.

The previous prime is 212133972467. The next prime is 212133972497. The reversal of 212133972480 is 84279331212.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18526117 + ... + 18537563.

It is an arithmetic number, because the mean of its divisors is an integer number (2248570368).

Almost surely, 2^212133972480 is an apocalyptic number.

212133972480 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 212133972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359771258880).

212133972480 is an abundant number, since it is smaller than the sum of its proper divisors (507408545280).

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

212133972480 is a wasteful number, since it uses less digits than its factorization.

212133972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 212133972480 in words is "two hundred twelve billion, one hundred thirty-three million, nine hundred seventy-two thousand, four hundred eighty".