24120104100114 has 128 divisors (see below), whose sum is σ = 54196779442176. Its totient is φ = 7092856512000.

The previous prime is 24120104100089. The next prime is 24120104100119. The reversal of 24120104100114 is 41100140102142.

It is not an unprimeable number, because it can be changed into a prime (24120104100119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1040859432 + ... + 1040882604.

It is an arithmetic number, because the mean of its divisors is an integer number (423412339392).

Almost surely, 2^{24120104100114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24120104100114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27098389721088).

24120104100114 is an abundant number, since it is smaller than the sum of its proper divisors (30076675342062).

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

24120104100114 is a wasteful number, since it uses less digits than its factorization.

24120104100114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25264.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 24120104100114 its reverse (41100140102142), we get a palindrome (65220244202256).

The spelling of 24120104100114 in words is "twenty-four trillion, one hundred twenty billion, one hundred four million, one hundred thousand, one hundred fourteen".