211020031023120 has 640 divisors, whose sum is σ = 840218725416960. Its totient is φ = 48109759488000.

The previous prime is 211020031023107. The next prime is 211020031023157. The reversal of 211020031023120 is 21320130020112.

211020031023120 is a `hidden beast` number, since 2 + 1 + 10 + 200 + 310 + 23 + 120 = 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 = 211020031023093 and 211020031023102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521258385 + ... + 521663055.

It is an arithmetic number, because the mean of its divisors is an integer number (1312841758464).

Almost surely, 2^{211020031023120} is an apocalyptic number.

211020031023120 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 211020031023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420109362708480).

211020031023120 is an abundant number, since it is smaller than the sum of its proper divisors (629198694393840).

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

211020031023120 is a wasteful number, since it uses less digits than its factorization.

211020031023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406012 (or 406000 counting only the distinct ones).

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

Adding to 211020031023120 its reverse (21320130020112), we get a palindrome (232340161043232).

The spelling of 211020031023120 in words is "two hundred eleven trillion, twenty billion, thirty-one million, twenty-three thousand, one hundred twenty".