1120605310 has 64 divisors (see below), whose sum is σ = 2358388224. Its totient is φ = 379209600.

The previous prime is 1120605307. The next prime is 1120605323. The reversal of 1120605310 is 135060211.

It is a super-3 number, since 3×1120605310³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 87625 + ... + 99595.

It is an arithmetic number, because the mean of its divisors is an integer number (36849816).

Almost surely, 2^1120605310 is an apocalyptic number.

1120605310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120605310 is an abundant number, since it is smaller than the sum of its proper divisors (1237782914).

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

1120605310 is a wasteful number, since it uses less digits than its factorization.

1120605310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12049.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1120605310 is about 33475.4433876536. The cubic root of 1120605310 is about 1038.6858740932.

Adding to 1120605310 its reverse (135060211), we get a palindrome (1255665521).

It can be divided in two parts, 112060 and 5310, that added together give a triangular number (117370 = T₄₈₄).

The spelling of 1120605310 in words is "one billion, one hundred twenty million, six hundred five thousand, three hundred ten".