212011013120 has 176 divisors, whose sum is σ = 522019684368. Its totient is φ = 82571427840.

The previous prime is 212011013113. The next prime is 212011013143. The reversal of 212011013120 is 21310110212.

It can be written as a sum of positive squares in 8 ways, for example, as 52701466624 + 159309546496 = 229568^2 + 399136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212011013095 and 212011013104.

It is a congruent number.

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, 209289734 + ... + 209290746.

Almost surely, 2^212011013120 is an apocalyptic number.

212011013120 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 212011013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261009842184).

212011013120 is an abundant number, since it is smaller than the sum of its proper divisors (310008671248).

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

212011013120 is a wasteful number, since it uses less digits than its factorization.

212011013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212011013120 its reverse (21310110212), we get a palindrome (233321123332).

The spelling of 212011013120 in words is "two hundred twelve billion, eleven million, thirteen thousand, one hundred twenty".