212200101120000 has 480 divisors, whose sum is σ = 807925462344000. Its totient is φ = 48502874112000.

The previous prime is 212200101119957. The next prime is 212200101120013. The reversal of 212200101120000 is 21101002212.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22932826 + ... + 30827174.

It is an arithmetic number, because the mean of its divisors is an integer number (1683178046550).

Almost surely, 2^{212200101120000} is an apocalyptic number.

212200101120000 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 212200101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403962731172000).

212200101120000 is an abundant number, since it is smaller than the sum of its proper divisors (595725361224000).

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

212200101120000 is an frugal number, since it uses more digits than its factorization.

212200101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894401 (or 7894366 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212200101120000 its reverse (21101002212), we get a palindrome (212221202122212).

The spelling of 212200101120000 in words is "two hundred twelve trillion, two hundred billion, one hundred one million, one hundred twenty thousand".