211311202000 has 320 divisors, whose sum is σ = 537002129664. Its totient is φ = 80356147200.

The previous prime is 211311201991. The next prime is 211311202007. The reversal of 211311202000 is 202113112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311202007) 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, 608965827 + ... + 608966173.

Almost surely, 2^211311202000 is an apocalyptic number.

211311202000 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 211311202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268501064832).

211311202000 is an abundant number, since it is smaller than the sum of its proper divisors (325690927664).

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

211311202000 is a wasteful number, since it uses less digits than its factorization.

211311202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 211311202000 its reverse (202113112), we get a palindrome (211513315112).

The spelling of 211311202000 in words is "two hundred eleven billion, three hundred eleven million, two hundred two thousand".