124121664 has 84 divisors (see below), whose sum is σ = 357705660. Its totient is φ = 41149440.

The previous prime is 124121651. The next prime is 124121671. The reversal of 124121664 is 466121421.

It can be written as a sum of positive squares in 2 ways, for example, as 99201600 + 24920064 = 9960^2 + 4992^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 131434 + ... + 132374.

Almost surely, 2^124121664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178852830).

124121664 is an abundant number, since it is smaller than the sum of its proper divisors (233583996).

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

124121664 is a wasteful number, since it uses less digits than its factorization.

124121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 124121664 is about 11140.9902611931. The cubic root of 124121664 is about 498.8261315558.

The spelling of 124121664 in words is "one hundred twenty-four million, one hundred twenty-one thousand, six hundred sixty-four".