212013021024 has 288 divisors, whose sum is σ = 715346311680. Its totient is φ = 60508726272.

The previous prime is 212013020981. The next prime is 212013021029. The reversal of 212013021024 is 420120310212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212013020988 and 212013021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013021029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71794332 + ... + 71797284.

It is an arithmetic number, because the mean of its divisors is an integer number (2483841360).

Almost surely, 2^212013021024 is an apocalyptic number.

212013021024 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 212013021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357673155840).

212013021024 is an abundant number, since it is smaller than the sum of its proper divisors (503333290656).

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

212013021024 is a wasteful number, since it uses less digits than its factorization.

212013021024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212013021024 its reverse (420120310212), we get a palindrome (632133331236).

The spelling of 212013021024 in words is "two hundred twelve billion, thirteen million, twenty-one thousand, twenty-four".