210940181712 has 120 divisors (see below), whose sum is σ = 636594375144. Its totient is φ = 64818496512.

The previous prime is 210940181671. The next prime is 210940181717. The reversal of 210940181712 is 217181049012.

210940181712 is a `hidden beast` number, since 2 + 109 + 401 + 81 + 71 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37521239616 + 173418942096 = 193704^2 + 416436^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210940181717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342678 + ... + 1491530.

Almost surely, 2^210940181712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210940181712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318297187572).

210940181712 is an abundant number, since it is smaller than the sum of its proper divisors (425654193432).

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

210940181712 is a wasteful number, since it uses less digits than its factorization.

210940181712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149637 (or 149628 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 210940181712 in words is "two hundred ten billion, nine hundred forty million, one hundred eighty-one thousand, seven hundred twelve".