212112120000000 has 2560 divisors, whose sum is σ = 817809681401856. Its totient is φ = 48384000000000.

The previous prime is 212112119999893. The next prime is 212112120000013. The reversal of 212112120000000 is 21211212.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2100119999950 + ... + 2100120000050.

Almost surely, 2^{212112120000000} is an apocalyptic number.

212112120000000 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 212112120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408904840700928).

212112120000000 is an abundant number, since it is smaller than the sum of its proper divisors (605697561401856).

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

212112120000000 is an frugal number, since it uses more digits than its factorization.

212112120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 202 counting only the distinct ones).

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

Adding to 212112120000000 its reverse (21211212), we get a palindrome (212112141211212).

212112120000000 divided by its reverse (21211212) gives a 7-th power (10000000 = 10⁷).

It can be divided in two parts, 2121 and 12120000000, that added together give a palindrome (12120002121).

The spelling of 212112120000000 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty million", and thus it is an aban number.