211011221120000 has 220 divisors, whose sum is σ = 602402006152320. Its totient is φ = 72346702848000.

The previous prime is 211011221119981. The next prime is 211011221120017. The reversal of 211011221120000 is 21122110112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19070360 + ... + 28030359.

It is an arithmetic number, because the mean of its divisors is an integer number (2738190937056).

Almost surely, 2^{211011221120000} is an apocalyptic number.

211011221120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011221120000 is an abundant number, since it is smaller than the sum of its proper divisors (391390785032320).

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

211011221120000 is an frugal number, since it uses more digits than its factorization.

211011221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47100766 (or 47100733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211011221120000 its reverse (21122110112), we get a palindrome (211032343230112).

The spelling of 211011221120000 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-one million, one hundred twenty thousand".