212112120000 has 1120 divisors, whose sum is σ = 811955890944. Its totient is φ = 48384000000.

The previous prime is 212112119969. The next prime is 212112120041. The reversal of 212112120000 is 21211212.

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 159 ways as a sum of consecutive naturals, for example, 2100119950 + ... + 2100120050.

Almost surely, 2^212112120000 is an apocalyptic number.

212112120000 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 212112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405977945472).

212112120000 is an abundant number, since it is smaller than the sum of its proper divisors (599843770944).

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

212112120000 is a wasteful number, since it uses less digits than its factorization.

212112120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

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

Adding to 212112120000 its reverse (21211212), we get a palindrome (212133331212).

212112120000 divided by its reverse (21211212) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 2121 and 12120000, that added together give a palindrome (12122121).

The spelling of 212112120000 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty thousand".