211120000000 has 704 divisors, whose sum is σ = 671670155520. Its totient is φ = 64512000000.

The previous prime is 211119999973. The next prime is 211120000001. The reversal of 211120000000 is 21112.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120000001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7279999986 + ... + 7280000014.

Almost surely, 2^211120000000 is an apocalyptic number.

211120000000 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 211120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335835077760).

211120000000 is an abundant number, since it is smaller than the sum of its proper divisors (460550155520).

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

211120000000 is an frugal number, since it uses more digits than its factorization.

211120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 211120000000 its reverse (21112), we get a palindrome (211120021112).

211120000000 divided by its reverse (21112) gives a 7-th power (10000000 = 10⁷).

The spelling of 211120000000 in words is "two hundred eleven billion, one hundred twenty million", and thus it is an aban number.