12110833152 has 320 divisors, whose sum is σ = 39679960320. Its totient is φ = 3616358400.

The previous prime is 12110833123. The next prime is 12110833159. The reversal of 12110833152 is 25133801121.

It is a super-3 number, since 3×12110833152³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110833159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11100127 + ... + 11101217.

It is an arithmetic number, because the mean of its divisors is an integer number (123999876).

Almost surely, 2^12110833152 is an apocalyptic number.

12110833152 is a gapful number since it is divisible by the number (12) 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 12110833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839980160).

12110833152 is an abundant number, since it is smaller than the sum of its proper divisors (27569127168).

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

12110833152 is a wasteful number, since it uses less digits than its factorization.

12110833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12110833152 in words is "twelve billion, one hundred ten million, eight hundred thirty-three thousand, one hundred fifty-two".