212120212110000 has 800 divisors, whose sum is σ = 741118962017280. Its totient is φ = 52086758400000.

The previous prime is 212120212109963. The next prime is 212120212110029. The reversal of 212120212110000 is 11212021212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 6333253254 + ... + 6333286746.

Almost surely, 2^{212120212110000} is an apocalyptic number.

212120212110000 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 212120212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370559481008640).

212120212110000 is an abundant number, since it is smaller than the sum of its proper divisors (528998749907280).

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

212120212110000 is a wasteful number, since it uses less digits than its factorization.

212120212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33855 (or 33834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212120212110000 its reverse (11212021212), we get a palindrome (212131424131212).

The spelling of 212120212110000 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twelve million, one hundred ten thousand".