1205551120 has 20 divisors (see below), whose sum is σ = 2802906540. Its totient is φ = 482220416.

The previous prime is 1205551117. The next prime is 1205551129. The reversal of 1205551120 is 211555021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 414366736 + 791184384 = 20356^2 + 28128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×1205551120⁴ (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1205551091 and 1205551100.

It is not an unprimeable number, because it can be changed into a prime (1205551129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7534615 + ... + 7534774.

It is an arithmetic number, because the mean of its divisors is an integer number (140145327).

Almost surely, 2^1205551120 is an apocalyptic number.

1205551120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205551120 is an abundant number, since it is smaller than the sum of its proper divisors (1597355420).

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

1205551120 is a wasteful number, since it uses less digits than its factorization.

1205551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15069402 (or 15069396 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The square root of 1205551120 is about 34721.0472192300. The cubic root of 1205551120 is about 1064.2946448767.

The spelling of 1205551120 in words is "one billion, two hundred five million, five hundred fifty-one thousand, one hundred twenty".