213210403412220 has 336 divisors, whose sum is σ = 676538793604800. Its totient is φ = 56413712729088.

The previous prime is 213210403412147. The next prime is 213210403412231. The reversal of 213210403412220 is 22214304012312.

213210403412220 is a `hidden beast` number, since 2 + 1 + 3 + 21 + 0 + 4 + 0 + 3 + 412 + 220 = 666.

It is a super-2 number, since 2×213210403412220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2035505169 + ... + 2035609911.

It is an arithmetic number, because the mean of its divisors is an integer number (2013508314300).

Almost surely, 2^{213210403412220} is an apocalyptic number.

213210403412220 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 213210403412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338269396802400).

213210403412220 is an abundant number, since it is smaller than the sum of its proper divisors (463328390192580).

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

213210403412220 is a wasteful number, since it uses less digits than its factorization.

213210403412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105856 (or 105839 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 213210403412220 its reverse (22214304012312), we get a palindrome (235424707424532).

The spelling of 213210403412220 in words is "two hundred thirteen trillion, two hundred ten billion, four hundred three million, four hundred twelve thousand, two hundred twenty".