211123002122032 has 320 divisors, whose sum is σ = 560711712153600. Its totient is φ = 75889312128000.

The previous prime is 211123002122027. The next prime is 211123002122051. The reversal of 211123002122032 is 230221200321112.

It is a super-3 number, since 3×211123002122032³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211123002121994 and 211123002122012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1548310657 + ... + 1548447007.

It is an arithmetic number, because the mean of its divisors is an integer number (1752224100480).

Almost surely, 2^{211123002122032} is an apocalyptic number.

211123002122032 is a gapful number since it is divisible by the number (22) 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 211123002122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280355856076800).

211123002122032 is an abundant number, since it is smaller than the sum of its proper divisors (349588710031568).

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

211123002122032 is a wasteful number, since it uses less digits than its factorization.

211123002122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138377 (or 138357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211123002122032 its reverse (230221200321112), we get a palindrome (441344202443144).

The spelling of 211123002122032 in words is "two hundred eleven trillion, one hundred twenty-three billion, two million, one hundred twenty-two thousand, thirty-two".