211332121800 has 48 divisors (see below), whose sum is σ = 655129579440. Its totient is φ = 56355232320.

The previous prime is 211332121799. The next prime is 211332121823. The reversal of 211332121800 is 8121233112.

It is a super-2 number, since 2×211332121800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176109502 + ... + 176110701.

It is an arithmetic number, because the mean of its divisors is an integer number (13648532905).

Almost surely, 2^211332121800 is an apocalyptic number.

211332121800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332121800 is an abundant number, since it is smaller than the sum of its proper divisors (443797457640).

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

211332121800 is a wasteful number, since it uses less digits than its factorization.

211332121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352220222 (or 352220213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211332121800 its reverse (8121233112), we get a palindrome (219453354912).

The spelling of 211332121800 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred twenty-one thousand, eight hundred".