211211011200000 has 792 divisors, whose sum is σ = 818531012474784. Its totient is φ = 48276695040000.

The previous prime is 211211011199933. The next prime is 211211011200011. The reversal of 211211011200000 is 2110112112.

It is a super-2 number, since 2×211211011200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470175499 + ... + 470624501.

Almost surely, 2^{211211011200000} is an apocalyptic number.

211211011200000 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 211211011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409265506237392).

211211011200000 is an abundant number, since it is smaller than the sum of its proper divisors (607320001274784).

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

211211011200000 is an frugal number, since it uses more digits than its factorization.

211211011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449065 (or 449020 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211211011200000 its reverse (2110112112), we get a palindrome (211213121312112).

The spelling of 211211011200000 in words is "two hundred eleven trillion, two hundred eleven billion, eleven million, two hundred thousand".