212112121012000 has 192 divisors, whose sum is σ = 568555238579328. Its totient is φ = 77129289600000.

The previous prime is 212112121011983. The next prime is 212112121012009. The reversal of 212112121012000 is 210121211212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (212112121012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2073360850 + ... + 2073463150.

It is an arithmetic number, because the mean of its divisors is an integer number (2961225200934).

Almost surely, 2^{212112121012000} is an apocalyptic number.

212112121012000 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 212112121012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284277619289664).

212112121012000 is an abundant number, since it is smaller than the sum of its proper divisors (356443117567328).

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

212112121012000 is a wasteful number, since it uses less digits than its factorization.

212112121012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149460 (or 149442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112121012000 its reverse (210121211212), we get a palindrome (212322242223212).

The spelling of 212112121012000 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, twelve thousand".