211045054120000 has 140 divisors (see below), whose sum is σ = 524572167485520. Its totient is φ = 84216539968000.

The previous prime is 211045054119923. The next prime is 211045054120001. The reversal of 211045054120000 is 21450540112.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (211045054120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 10463907 + ... + 23056093.

It is an arithmetic number, because the mean of its divisors is an integer number (3746944053468).

Almost surely, 2^{211045054120000} is an apocalyptic number.

211045054120000 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 211045054120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262286083742760).

211045054120000 is an abundant number, since it is smaller than the sum of its proper divisors (313527113365520).

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

211045054120000 is an equidigital number, since it uses as much as digits as its factorization.

211045054120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12592638 (or 12592613 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 211045054120000 in words is "two hundred eleven trillion, forty-five billion, fifty-four million, one hundred twenty thousand".