212013003120 has 160 divisors (see below), whose sum is σ = 672796938240. Its totient is φ = 55204239360.

The previous prime is 212013003079. The next prime is 212013003143. The reversal of 212013003120 is 21300310212.

It is a super-2 number, since 2×212013003120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212013003120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4839876 + ... + 4883484.

It is an arithmetic number, because the mean of its divisors is an integer number (4204980864).

Almost surely, 2^212013003120 is an apocalyptic number.

212013003120 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 212013003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336398469120).

212013003120 is an abundant number, since it is smaller than the sum of its proper divisors (460783935120).

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

212013003120 is a wasteful number, since it uses less digits than its factorization.

212013003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44103 (or 44097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212013003120 its reverse (21300310212), we get a palindrome (233313313332).

The spelling of 212013003120 in words is "two hundred twelve billion, thirteen million, three thousand, one hundred twenty".