212420241024 has 128 divisors (see below), whose sum is σ = 570903547200. Its totient is φ = 69972885504.

The previous prime is 212420241017. The next prime is 212420241037. The reversal of 212420241024 is 420142024212.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212420240985 and 212420241003.

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, 27522414 + ... + 27530130.

Almost surely, 2^212420241024 is an apocalyptic number.

212420241024 is a gapful number since it is divisible by the number (24) 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 212420241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285451773600).

212420241024 is an abundant number, since it is smaller than the sum of its proper divisors (358483306176).

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

212420241024 is an equidigital number, since it uses as much as digits as its factorization.

212420241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212420241024 its reverse (420142024212), we get a palindrome (632562265236).

The spelling of 212420241024 in words is "two hundred twelve billion, four hundred twenty million, two hundred forty-one thousand, twenty-four".