1152820123116 has 48 divisors (see below), whose sum is σ = 2693464408320. Its totient is φ = 383766292800.

The previous prime is 1152820123111. The next prime is 1152820123121. The reversal of 1152820123116 is 6113210282511.

It is an interprime number because it is at equal distance from previous prime (1152820123111) and next prime (1152820123121).

It is a super-2 number, since 2×1152820123116² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1152820123111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105380775 + ... + 105391713.

It is an arithmetic number, because the mean of its divisors is an integer number (56113841840).

Almost surely, 2^{1152820123116} is an apocalyptic number.

It is an amenable number.

1152820123116 is an abundant number, since it is smaller than the sum of its proper divisors (1540644285204).

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

1152820123116 is a wasteful number, since it uses less digits than its factorization.

1152820123116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21734 (or 21732 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 1152820123116 in words is "one trillion, one hundred fifty-two billion, eight hundred twenty million, one hundred twenty-three thousand, one hundred sixteen".