211010002323120 has 1440 divisors, whose sum is σ = 984582743254656. Its totient is φ = 39379515310080.

The previous prime is 211010002323103. The next prime is 211010002323143. The reversal of 211010002323120 is 21323200010112.

211010002323120 is a `hidden beast` number, since 2 + 110 + 10 + 0 + 0 + 232 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211010002323093 and 211010002323102.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 292973364 + ... + 293692716.

Almost surely, 2^{211010002323120} is an apocalyptic number.

211010002323120 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 211010002323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492291371627328).

211010002323120 is an abundant number, since it is smaller than the sum of its proper divisors (773572740931536).

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

211010002323120 is a wasteful number, since it uses less digits than its factorization.

211010002323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719451 (or 719431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211010002323120 its reverse (21323200010112), we get a palindrome (232333202333232).

The spelling of 211010002323120 in words is "two hundred eleven trillion, ten billion, two million, three hundred twenty-three thousand, one hundred twenty".