212120020112000 has 768 divisors, whose sum is σ = 711986526201600. Its totient is φ = 61029476352000.

The previous prime is 212120020111981. The next prime is 212120020112003. The reversal of 212120020112000 is 211020021212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212120020112003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207698606 + ... + 208717394.

It is an arithmetic number, because the mean of its divisors is an integer number (927065789325).

Almost surely, 2^{212120020112000} is an apocalyptic number.

212120020112000 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 212120020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355993263100800).

212120020112000 is an abundant number, since it is smaller than the sum of its proper divisors (499866506089600).

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

212120020112000 is a wasteful number, since it uses less digits than its factorization.

212120020112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018862 (or 1018827 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212120020112000 its reverse (211020021212), we get a palindrome (212331040133212).

The spelling of 212120020112000 in words is "two hundred twelve trillion, one hundred twenty billion, twenty million, one hundred twelve thousand".