211112012000220 has 288 divisors, whose sum is σ = 625012365571776. Its totient is φ = 53209482854400.

The previous prime is 211112012000177. The next prime is 211112012000231. The reversal of 211112012000220 is 22000210211112.

It is a super-2 number, since 2×211112012000220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211112012000220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 784548900 + ... + 784817940.

It is an arithmetic number, because the mean of its divisors is an integer number (2170181824902).

Almost surely, 2^{211112012000220} is an apocalyptic number.

211112012000220 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 211112012000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312506182785888).

211112012000220 is an abundant number, since it is smaller than the sum of its proper divisors (413900353571556).

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

211112012000220 is a wasteful number, since it uses less digits than its factorization.

211112012000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269401 (or 269362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211112012000220 its reverse (22000210211112), we get a palindrome (233112222211332).

The spelling of 211112012000220 in words is "two hundred eleven trillion, one hundred twelve billion, twelve million, two hundred twenty", and thus it is an aban number.