124412114100 has 144 divisors (see below), whose sum is σ = 378691387200. Its totient is φ = 31489489920.

The previous prime is 124412114083. The next prime is 124412114107. The reversal of 124412114100 is 1411214421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124412114107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392112 + ... + 634488.

It is an arithmetic number, because the mean of its divisors is an integer number (2629801300).

Almost surely, 2^124412114100 is an apocalyptic number.

124412114100 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 124412114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189345693600).

124412114100 is an abundant number, since it is smaller than the sum of its proper divisors (254279273100).

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

124412114100 is a wasteful number, since it uses less digits than its factorization.

124412114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242482 (or 242475 counting only the distinct ones).

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

Adding to 124412114100 its reverse (1411214421), we get a palindrome (125823328521).

The spelling of 124412114100 in words is "one hundred twenty-four billion, four hundred twelve million, one hundred fourteen thousand, one hundred".