212030302122000 has 480 divisors, whose sum is σ = 768096665747424. Its totient is φ = 54468564480000.

The previous prime is 212030302121933. The next prime is 212030302122017. The reversal of 212030302122000 is 221203030212.

212030302122000 is a `hidden beast` number, since 2 + 120 + 30 + 302 + 12 + 200 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3293920087056 + 208736382034944 = 1814916^2 + 14447712^2 .

It is a super-3 number, since 3×212030302122000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65689942 + ... + 68842058.

Almost surely, 2^{212030302122000} is an apocalyptic number.

212030302122000 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 212030302122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384048332873712).

212030302122000 is an abundant number, since it is smaller than the sum of its proper divisors (556066363625424).

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

212030302122000 is a wasteful number, since it uses less digits than its factorization.

212030302122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152284 (or 3152265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212030302122000 its reverse (221203030212), we get a palindrome (212251505152212).

The spelling of 212030302122000 in words is "two hundred twelve trillion, thirty billion, three hundred two million, one hundred twenty-two thousand".