16121798106120 has 960 divisors, whose sum is σ = 63464865361920. Its totient is φ = 3670606388736.

The previous prime is 16121798106109. The next prime is 16121798106121. The reversal of 16121798106120 is 2160189712161.

16121798106120 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 17 + 9 + 8 + 10 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16121798106121) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20856142054 + ... + 20856142826.

It is an arithmetic number, because the mean of its divisors is an integer number (66109234752).

Almost surely, 2^{16121798106120} is an apocalyptic number.

16121798106120 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 16121798106120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31732432680960).

16121798106120 is an abundant number, since it is smaller than the sum of its proper divisors (47343067255800).

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

16121798106120 is an frugal number, since it uses more digits than its factorization.

16121798106120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 16121798106120 in words is "sixteen trillion, one hundred twenty-one billion, seven hundred ninety-eight million, one hundred six thousand, one hundred twenty".