211012012302000 has 960 divisors, whose sum is σ = 856576558341504. Its totient is φ = 44295061708800.

The previous prime is 211012012301963. The next prime is 211012012302019. The reversal of 211012012302000 is 203210210112.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 752793874 + ... + 753074126.

Almost surely, 2^{211012012302000} is an apocalyptic number.

211012012302000 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 211012012302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428288279170752).

211012012302000 is an abundant number, since it is smaller than the sum of its proper divisors (645564546039504).

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

211012012302000 is a wasteful number, since it uses less digits than its factorization.

211012012302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280503 (or 280480 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211012012302000 its reverse (203210210112), we get a palindrome (211215222512112).

The spelling of 211012012302000 in words is "two hundred eleven trillion, twelve billion, twelve million, three hundred two thousand".