124920411168400 has 135 divisors (see below), whose sum is σ = 303825897144219. Its totient is φ = 49358806421760.

The previous prime is 124920411168341. The next prime is 124920411168503. The reversal of 124920411168400 is 4861114029421.

The square root of 124920411168400 is 11176780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36418376535696 + 88502034632704 = 6034764^2 + 9407552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18553451434 + ... + 18553458166.

Almost surely, 2^{124920411168400} is an apocalyptic number.

124920411168400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124920411168400 is the 11176780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124920411168400

124920411168400 is an abundant number, since it is smaller than the sum of its proper divisors (178905485975819).

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

124920411168400 is an frugal number, since it uses more digits than its factorization.

124920411168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13650 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 124920411168400 in words is "one hundred twenty-four trillion, nine hundred twenty billion, four hundred eleven million, one hundred sixty-eight thousand, four hundred".