211121130000 has 400 divisors, whose sum is σ = 787239452736. Its totient is φ = 48168960000.

The previous prime is 211121129981. The next prime is 211121130013. The reversal of 211121130000 is 31121112.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5591184 + ... + 5628816.

Almost surely, 2^211121130000 is an apocalyptic number.

211121130000 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 211121130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393619726368).

211121130000 is an abundant number, since it is smaller than the sum of its proper divisors (576118322736).

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

211121130000 is a wasteful number, since it uses less digits than its factorization.

211121130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37692 (or 37671 counting only the distinct ones).

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

Adding to 211121130000 its reverse (31121112), we get a palindrome (211152251112).

The spelling of 211121130000 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred thirty thousand".