114210124104120 has 256 divisors, whose sum is σ = 396072221575680. Its totient is φ = 26038446489600.

The previous prime is 114210124104119. The next prime is 114210124104127. The reversal of 114210124104120 is 21401421012411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114210124104127) 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, 26998864 + ... + 30941216.

It is an arithmetic number, because the mean of its divisors is an integer number (1547157115530).

Almost surely, 2^{114210124104120} is an apocalyptic number.

114210124104120 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 114210124104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198036110787840).

114210124104120 is an abundant number, since it is smaller than the sum of its proper divisors (281862097471560).

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

114210124104120 is a wasteful number, since it uses less digits than its factorization.

114210124104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943686 (or 3943682 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 114210124104120 its reverse (21401421012411), we get a palindrome (135611545116531).

The spelling of 114210124104120 in words is "one hundred fourteen trillion, two hundred ten billion, one hundred twenty-four million, one hundred four thousand, one hundred twenty".