124628106240 has 528 divisors, whose sum is σ = 477863732736. Its totient is φ = 29778739200.

The previous prime is 124628106181. The next prime is 124628106271. The reversal of 124628106240 is 42601826421.

124628106240 is a `hidden beast` number, since 1 + 2 + 4 + 6 + 28 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 124628106195 and 124628106204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35986749 + ... + 35990211.

Almost surely, 2^124628106240 is an apocalyptic number.

124628106240 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 124628106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238931866368).

124628106240 is an abundant number, since it is smaller than the sum of its proper divisors (353235626496).

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

124628106240 is a wasteful number, since it uses less digits than its factorization.

124628106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 124628106240 in words is "one hundred twenty-four billion, six hundred twenty-eight million, one hundred six thousand, two hundred forty".