213112204200420 has 384 divisors, whose sum is σ = 698046264115200. Its totient is φ = 47578374604800.

The previous prime is 213112204200377. The next prime is 213112204200431. The reversal of 213112204200420 is 24002402211312.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1146972886 + ... + 1147158674.

It is an arithmetic number, because the mean of its divisors is an integer number (1817828812800).

Almost surely, 2^{213112204200420} is an apocalyptic number.

213112204200420 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 213112204200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349023132057600).

213112204200420 is an abundant number, since it is smaller than the sum of its proper divisors (484934059914780).

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

213112204200420 is a wasteful number, since it uses less digits than its factorization.

213112204200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186259 (or 186257 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 213112204200420 its reverse (24002402211312), we get a palindrome (237114606411732).

The spelling of 213112204200420 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred four million, two hundred thousand, four hundred twenty".