213121120212 has 576 divisors, whose sum is σ = 749575776768. Its totient is φ = 49679308800.

The previous prime is 213121120139. The next prime is 213121120217. The reversal of 213121120212 is 212021121312.

213121120212 is a `hidden beast` number, since 21 + 312 + 1 + 120 + 212 = 666.

213121120212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213121120212² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161332512 + ... + 161333832.

Almost surely, 2^213121120212 is an apocalyptic number.

213121120212 is a gapful number since it is divisible by the number (22) 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 213121120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374787888384).

213121120212 is an abundant number, since it is smaller than the sum of its proper divisors (536454656556).

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

213121120212 is a wasteful number, since it uses less digits than its factorization.

213121120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213121120212 its reverse (212021121312), we get a palindrome (425142241524).

It can be divided in two parts, 213121 and 120212, that added together give a palindrome (333333).

The spelling of 213121120212 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twelve".