211200020000 has 120 divisors (see below), whose sum is σ = 532258569612. Its totient is φ = 82419200000.

The previous prime is 211200019973. The next prime is 211200020027. The reversal of 211200020000 is 20002112.

It is an interprime number because it is at equal distance from previous prime (211200019973) and next prime (211200020027).

It can be written as a sum of positive squares in 10 ways, for example, as 82408036624 + 128791983376 = 287068^2 + 358876^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 211200020000.

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, 691220 + ... + 948780.

Almost surely, 2^211200020000 is an apocalyptic number.

211200020000 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 211200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266129284806).

211200020000 is an abundant number, since it is smaller than the sum of its proper divisors (321058549612).

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

211200020000 is an equidigital number, since it uses as much as digits as its factorization.

211200020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257632 (or 257609 counting only the distinct ones).

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

Adding to 211200020000 its reverse (20002112), we get a palindrome (211220022112).

The spelling of 211200020000 in words is "two hundred eleven billion, two hundred million, twenty thousand".