211332123000 has 384 divisors, whose sum is σ = 735967365120. Its totient is φ = 54655948800.

The previous prime is 211332122983. The next prime is 211332123011. The reversal of 211332123000 is 321233112.

211332123000 is a `hidden beast` number, since 2 + 113 + 321 + 230 + 0 + 0 = 666.

It is a super-2 number, since 2×211332123000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127538172 + ... + 127539828.

It is an arithmetic number, because the mean of its divisors is an integer number (1916581680).

Almost surely, 2^211332123000 is an apocalyptic number.

211332123000 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 211332123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367983682560).

211332123000 is an abundant number, since it is smaller than the sum of its proper divisors (524635242120).

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

211332123000 is a wasteful number, since it uses less digits than its factorization.

211332123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211332123000 its reverse (321233112), we get a palindrome (211653356112).

The spelling of 211332123000 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred twenty-three thousand".