109124088348000 has 384 divisors, whose sum is σ = 392966733519360. Its totient is φ = 26252378880000.

The previous prime is 109124088347959. The next prime is 109124088348013. The reversal of 109124088348000 is 843880421901.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14136666 + ... + 20447334.

It is an arithmetic number, because the mean of its divisors is an integer number (1023350868540).

Almost surely, 2^{109124088348000} is an apocalyptic number.

109124088348000 is a gapful number since it is divisible by the number (10) 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 109124088348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196483366759680).

109124088348000 is an abundant number, since it is smaller than the sum of its proper divisors (283842645171360).

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

109124088348000 is a wasteful number, since it uses less digits than its factorization.

109124088348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310839 (or 6310821 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 109124088348000 in words is "one hundred nine trillion, one hundred twenty-four billion, eighty-eight million, three hundred forty-eight thousand".