211112002020 has 192 divisors, whose sum is σ = 641988861696. Its totient is φ = 51625082880.

The previous prime is 211112002007. The next prime is 211112002021. The reversal of 211112002020 is 20200211112.

It is a super-4 number, since 4×211112002020⁴ (a number of 46 digits) contains 4444 as substring.

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 = 211112001987 and 211112002005.

It is not an unprimeable number, because it can be changed into a prime (211112002021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36924202 + ... + 36929918.

It is an arithmetic number, because the mean of its divisors is an integer number (3343691988).

Almost surely, 2^211112002020 is an apocalyptic number.

211112002020 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 211112002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320994430848).

211112002020 is an abundant number, since it is smaller than the sum of its proper divisors (430876859676).

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

211112002020 is a wasteful number, since it uses less digits than its factorization.

211112002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211112002020 its reverse (20200211112), we get a palindrome (231312213132).

The spelling of 211112002020 in words is "two hundred eleven billion, one hundred twelve million, two thousand, twenty".