212104442414300 has 288 divisors, whose sum is σ = 476906507529984. Its totient is φ = 81835663360000.

The previous prime is 212104442414281. The next prime is 212104442414317. The reversal of 212104442414300 is 3414244401212.

It is a super-2 number, since 2×212104442414300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177790814504 + ... + 177790815696.

It is an arithmetic number, because the mean of its divisors is an integer number (1655925373368).

Almost surely, 2^{212104442414300} is an apocalyptic number.

212104442414300 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 212104442414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238453253764992).

212104442414300 is an abundant number, since it is smaller than the sum of its proper divisors (264802065115684).

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

212104442414300 is a wasteful number, since it uses less digits than its factorization.

212104442414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212104442414300 its reverse (3414244401212), we get a palindrome (215518686815512).

The spelling of 212104442414300 in words is "two hundred twelve trillion, one hundred four billion, four hundred forty-two million, four hundred fourteen thousand, three hundred".