109541601312 has 192 divisors, whose sum is σ = 338268026880. Its totient is φ = 30600115200.

The previous prime is 109541601283. The next prime is 109541601317. The reversal of 109541601312 is 213106145901.

109541601312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (109541601317) 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, 11128489 + ... + 11138327.

It is an arithmetic number, because the mean of its divisors is an integer number (1761812640).

Almost surely, 2^109541601312 is an apocalyptic number.

109541601312 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 109541601312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169134013440).

109541601312 is an abundant number, since it is smaller than the sum of its proper divisors (228726425568).

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

109541601312 is a wasteful number, since it uses less digits than its factorization.

109541601312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10687 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 109541601312 in words is "one hundred nine billion, five hundred forty-one million, six hundred one thousand, three hundred twelve".