1180121616 has 160 divisors (see below), whose sum is σ = 3625660800. Its totient is φ = 366405120.

The previous prime is 1180121587. The next prime is 1180121617. The reversal of 1180121616 is 6161210811.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1180121616.

It is not an unprimeable number, because it can be changed into a prime (1180121617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499510 + ... + 501866.

It is an arithmetic number, because the mean of its divisors is an integer number (22660380).

Almost surely, 2^1180121616 is an apocalyptic number.

1180121616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1180121616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812830400).

1180121616 is an abundant number, since it is smaller than the sum of its proper divisors (2445539184).

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

1180121616 is a wasteful number, since it uses less digits than its factorization.

1180121616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1180121616 is about 34352.8982183454. The cubic root of 1180121616 is about 1056.7581074803.

The spelling of 1180121616 in words is "one billion, one hundred eighty million, one hundred twenty-one thousand, six hundred sixteen".