212201200310000 has 400 divisors, whose sum is σ = 581454475008000. Its totient is φ = 74299420800000.

The previous prime is 212201200309997. The next prime is 212201200310023. The reversal of 212201200310000 is 13002102212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×212201200310000² (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 79 ways as a sum of consecutive naturals, for example, 678433646 + ... + 678746354.

It is an arithmetic number, because the mean of its divisors is an integer number (1453636187520).

Almost surely, 2^{212201200310000} is an apocalyptic number.

212201200310000 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 212201200310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290727237504000).

212201200310000 is an abundant number, since it is smaller than the sum of its proper divisors (369253274698000).

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

212201200310000 is a wasteful number, since it uses less digits than its factorization.

212201200310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312978 (or 312957 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 212201200310000 its reverse (13002102212), we get a palindrome (212214202412212).

The spelling of 212201200310000 in words is "two hundred twelve trillion, two hundred one billion, two hundred million, three hundred ten thousand".