212120012020000 has 240 divisors, whose sum is σ = 596454385000320. Its totient is φ = 72719817984000.

The previous prime is 212120012019919. The next prime is 212120012020027. The reversal of 212120012020000 is 20210021212.

It is a happy number.

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, 1564712221 + ... + 1564847779.

It is an arithmetic number, because the mean of its divisors is an integer number (2485226604168).

Almost surely, 2^{212120012020000} is an apocalyptic number.

212120012020000 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 212120012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298227192500160).

212120012020000 is an abundant number, since it is smaller than the sum of its proper divisors (384334372980320).

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

212120012020000 is a wasteful number, since it uses less digits than its factorization.

212120012020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146773 (or 146750 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212120012020000 its reverse (20210021212), we get a palindrome (212140222041212).

The spelling of 212120012020000 in words is "two hundred twelve trillion, one hundred twenty billion, twelve million, twenty thousand".