212011111002220 has 192 divisors, whose sum is σ = 484695108817920. Its totient is φ = 77585308803072.

The previous prime is 212011111002167. The next prime is 212011111002233. The reversal of 212011111002220 is 22200111110212.

212011111002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212011111002220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212011111002194 and 212011111002203.

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, 7095641241 + ... + 7095671119.

It is an arithmetic number, because the mean of its divisors is an integer number (2524453691760).

Almost surely, 2^{212011111002220} is an apocalyptic number.

212011111002220 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 212011111002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242347554408960).

212011111002220 is an abundant number, since it is smaller than the sum of its proper divisors (272683997815700).

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

212011111002220 is a wasteful number, since it uses less digits than its factorization.

212011111002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32264 (or 32262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212011111002220 its reverse (22200111110212), we get a palindrome (234211222112432).

The spelling of 212011111002220 in words is "two hundred twelve trillion, eleven billion, one hundred eleven million, two thousand, two hundred twenty".