211773814120 has 128 divisors (see below), whose sum is σ = 528997392000. Its totient is φ = 75649223680.

The previous prime is 211773814117. The next prime is 211773814141. The reversal of 211773814120 is 21418377112.

211773814120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211773814120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211773814120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59939874 + ... + 59943406.

It is an arithmetic number, because the mean of its divisors is an integer number (4132792125).

Almost surely, 2^211773814120 is an apocalyptic number.

211773814120 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 211773814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264498696000).

211773814120 is an abundant number, since it is smaller than the sum of its proper divisors (317223577880).

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

211773814120 is a wasteful number, since it uses less digits than its factorization.

211773814120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 211773814120 in words is "two hundred eleven billion, seven hundred seventy-three million, eight hundred fourteen thousand, one hundred twenty".