23061901101120 has 2016 divisors, whose sum is σ = 100180138780800. Its totient is φ = 4839539539968.

The previous prime is 23061901100981. The next prime is 23061901101149. The reversal of 23061901101120 is 2110110916032.

It is a happy number.

23061901101120 is a `hidden beast` number, since 2 + 3 + 0 + 619 + 0 + 1 + 10 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11548271962 + ... + 11548273958.

Almost surely, 2^{23061901101120} is an apocalyptic number.

23061901101120 is a gapful number since it is divisible by the number (20) 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 23061901101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50090069390400).

23061901101120 is an abundant number, since it is smaller than the sum of its proper divisors (77118237679680).

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

23061901101120 is a wasteful number, since it uses less digits than its factorization.

23061901101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 23061901101120 in words is "twenty-three trillion, sixty-one billion, nine hundred one million, one hundred one thousand, one hundred twenty".