212111012120000 has 1120 divisors, whose sum is σ = 686314115182080. Its totient is φ = 63260835840000.

The previous prime is 212111012119973. The next prime is 212111012120009. The reversal of 212111012120000 is 21210111212.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111012120009) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3708011399 + ... + 3708068601.

It is an arithmetic number, because the mean of its divisors is an integer number (612780459984).

Almost surely, 2^{212111012120000} is an apocalyptic number.

212111012120000 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 212111012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343157057591040).

212111012120000 is an abundant number, since it is smaller than the sum of its proper divisors (474203103062080).

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

212111012120000 is a wasteful number, since it uses less digits than its factorization.

212111012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57319 (or 57294 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212111012120000 its reverse (21210111212), we get a palindrome (212132222231212).

The spelling of 212111012120000 in words is "two hundred twelve trillion, one hundred eleven billion, twelve million, one hundred twenty thousand".