210045122120 has 32 divisors (see below), whose sum is σ = 479075524920. Its totient is φ = 82867115520.

The previous prime is 210045122117. The next prime is 210045122129. The reversal of 210045122120 is 21221540012.

It can be written as a sum of positive squares in 4 ways, for example, as 180823954756 + 29221167364 = 425234^2 + 170942^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210045122092 and 210045122101.

It is not an unprimeable number, because it can be changed into a prime (210045122129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35963711 + ... + 35969550.

Almost surely, 2^210045122120 is an apocalyptic number.

210045122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210045122120 is an abundant number, since it is smaller than the sum of its proper divisors (269030402800).

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

210045122120 is a wasteful number, since it uses less digits than its factorization.

210045122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71933345 (or 71933341 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 210045122120 its reverse (21221540012), we get a palindrome (231266662132).

The spelling of 210045122120 in words is "two hundred ten billion, forty-five million, one hundred twenty-two thousand, one hundred twenty".