205420144120 has 32 divisors (see below), whose sum is σ = 462301992000. Its totient is φ = 82149094528.

The previous prime is 205420144103. The next prime is 205420144177. The reversal of 205420144120 is 21441024502.

It is a super-2 number, since 2×205420144120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416464 + ... + 764383.

It is an arithmetic number, because the mean of its divisors is an integer number (14446937250).

Almost surely, 2^205420144120 is an apocalyptic number.

205420144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205420144120 is an abundant number, since it is smaller than the sum of its proper divisors (256881847880).

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

205420144120 is a wasteful number, since it uses less digits than its factorization.

205420144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185207 (or 1185203 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 205420144120 its reverse (21441024502), we get a palindrome (226861168622).

The spelling of 205420144120 in words is "two hundred five billion, four hundred twenty million, one hundred forty-four thousand, one hundred twenty".