212424238080 has 528 divisors, whose sum is σ = 769523698944. Its totient is φ = 54128148480.

The previous prime is 212424238069. The next prime is 212424238093. The reversal of 212424238080 is 80832424212.

It is a super-3 number, since 3×212424238080³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93126540 + ... + 93128820.

It is an arithmetic number, because the mean of its divisors is an integer number (1457431248).

Almost surely, 2^212424238080 is an apocalyptic number.

212424238080 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 212424238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384761849472).

212424238080 is an abundant number, since it is smaller than the sum of its proper divisors (557099460864).

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

212424238080 is a wasteful number, since it uses less digits than its factorization.

212424238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 212424238080 in words is "two hundred twelve billion, four hundred twenty-four million, two hundred thirty-eight thousand, eighty".