211123310032320 has 224 divisors, whose sum is σ = 766423176450048. Its totient is φ = 48234887872512.

The previous prime is 211123310032303. The next prime is 211123310032331. The reversal of 211123310032320 is 23230013321112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×211123310032320² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7713424 + ... + 21948656.

Almost surely, 2^{211123310032320} is an apocalyptic number.

211123310032320 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 211123310032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383211588225024).

211123310032320 is an abundant number, since it is smaller than the sum of its proper divisors (555299866417728).

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

211123310032320 is a wasteful number, since it uses less digits than its factorization.

211123310032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14237467 (or 14237457 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211123310032320 its reverse (23230013321112), we get a palindrome (234353323353432).

The spelling of 211123310032320 in words is "two hundred eleven trillion, one hundred twenty-three billion, three hundred ten million, thirty-two thousand, three hundred twenty".