211202122120020 has 480 divisors, whose sum is σ = 719828121551616. Its totient is φ = 51696270489600.

The previous prime is 211202122120019. The next prime is 211202122120027. The reversal of 211202122120020 is 20021221202112.

It is a happy number.

211202122120020 is a `hidden beast` number, since 21 + 1 + 202 + 1 + 221 + 200 + 20 = 666.

211202122120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 211202122119975 and 211202122120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202122120027) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 92054047 + ... + 94320473.

Almost surely, 2^{211202122120020} is an apocalyptic number.

211202122120020 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 211202122120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359914060775808).

211202122120020 is an abundant number, since it is smaller than the sum of its proper divisors (508625999431596).

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

211202122120020 is a wasteful number, since it uses less digits than its factorization.

211202122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266573 (or 2266562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211202122120020 its reverse (20021221202112), we get a palindrome (231223343322132).

The spelling of 211202122120020 in words is "two hundred eleven trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, twenty".