124131667968 has 1040 divisors, whose sum is σ = 477255626496. Its totient is φ = 31213486080.

The previous prime is 124131667963. The next prime is 124131667981. The reversal of 124131667968 is 869766131421.

124131667968 is a `hidden beast` number, since 1 + 2 + 413 + 166 + 7 + 9 + 68 = 666.

124131667968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124131667963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1098510280 + ... + 1098510392.

Almost surely, 2^124131667968 is an apocalyptic number.

124131667968 is a gapful number since it is divisible by the number (18) 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 124131667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238627813248).

124131667968 is an abundant number, since it is smaller than the sum of its proper divisors (353123958528).

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

124131667968 is a wasteful number, since it uses less digits than its factorization.

124131667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 179 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 124131667968 in words is "one hundred twenty-four billion, one hundred thirty-one million, six hundred sixty-seven thousand, nine hundred sixty-eight".