211211304000 has 224 divisors, whose sum is σ = 698231304576. Its totient is φ = 56257484800.

The previous prime is 211211303969. The next prime is 211211304011. The reversal of 211211304000 is 403112112.

It is a super-2 number, since 2×211211304000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22723354 + ... + 22732646.

Almost surely, 2^211211304000 is an apocalyptic number.

211211304000 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 211211304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349115652288).

211211304000 is an abundant number, since it is smaller than the sum of its proper divisors (487020000576).

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

211211304000 is an equidigital number, since it uses as much as digits as its factorization.

211211304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270 (or 10250 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 211211304000 its reverse (403112112), we get a palindrome (211614416112).

The spelling of 211211304000 in words is "two hundred eleven billion, two hundred eleven million, three hundred four thousand".