124400144002000 has 80 divisors (see below), whose sum is σ = 311171946555600. Its totient is φ = 48044193523200.

The previous prime is 124400144001949. The next prime is 124400144002003. The reversal of 124400144002000 is 200441004421.

It can be written as a sum of positive squares in 8 ways, for example, as 72166452167056 + 52233691834944 = 8495084^2 + 7227288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×124400144002000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124400144002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072357035 + ... + 1072473034.

It is an arithmetic number, because the mean of its divisors is an integer number (3889649331945).

Almost surely, 2^{124400144002000} is an apocalyptic number.

124400144002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124400144002000 is an abundant number, since it is smaller than the sum of its proper divisors (186771802553600).

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

124400144002000 is a wasteful number, since it uses less digits than its factorization.

124400144002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144830121 (or 2144830105 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 124400144002000 its reverse (200441004421), we get a palindrome (124600585006421).

The spelling of 124400144002000 in words is "one hundred twenty-four trillion, four hundred billion, one hundred forty-four million, two thousand".