124051884100 has 27 divisors (see below), whose sum is σ = 269200231671. Its totient is φ = 49619344800.

The previous prime is 124051884043. The next prime is 124051884109. The reversal of 124051884100 is 1488150421.

It is a happy number.

The square root of 124051884100 is 352210.

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 16751089476 + 107300794624 = 129426^2 + 327568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124051884109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3504490 + ... + 3539710.

Almost surely, 2^124051884100 is an apocalyptic number.

124051884100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

124051884100 is the 352210-th square number.

It is an amenable number.

124051884100 is an abundant number, since it is smaller than the sum of its proper divisors (145148347571).

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

124051884100 is an frugal number, since it uses more digits than its factorization.

124051884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70456 (or 35228 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 124051884100 in words is "one hundred twenty-four billion, fifty-one million, eight hundred eighty-four thousand, one hundred".