211000030020120 has 256 divisors, whose sum is σ = 697779878400000. Its totient is φ = 50616223488000.

The previous prime is 211000030020053. The next prime is 211000030020167. The reversal of 211000030020120 is 21020030000112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211000030020096 and 211000030020105.

It is a congruent number.

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, 234060006 + ... + 234959754.

It is an arithmetic number, because the mean of its divisors is an integer number (2725702650000).

Almost surely, 2^{211000030020120} is an apocalyptic number.

211000030020120 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 211000030020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348889939200000).

211000030020120 is an abundant number, since it is smaller than the sum of its proper divisors (486779848379880).

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

211000030020120 is a wasteful number, since it uses less digits than its factorization.

211000030020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901634 (or 901630 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211000030020120 its reverse (21020030000112), we get a palindrome (232020060020232).

The spelling of 211000030020120 in words is "two hundred eleven trillion, thirty million, twenty thousand, one hundred twenty".