124002000 has 180 divisors, whose sum is σ = 438378564. Its totient is φ = 32668800.

The previous prime is 124001963. The next prime is 124002017. The reversal of 124002000 is 200421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 120033936 = 1992^2 + 10956^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1493959 + ... + 1494041.

Almost surely, 2^124002000 is an apocalyptic number.

124002000 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 124002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219189282).

124002000 is an abundant number, since it is smaller than the sum of its proper divisors (314376564).

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

124002000 is an equidigital number, since it uses as much as digits as its factorization.

124002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 124002000 is about 11135.6185279490. The cubic root of 124002000 is about 498.6657761938.

Adding to 124002000 its reverse (200421), we get a palindrome (124202421).

It can be divided in two parts, 12400 and 2000, that added together give a square (14400 = 120²).

The spelling of 124002000 in words is "one hundred twenty-four million, two thousand".