10124504052000 has 288 divisors, whose sum is σ = 35915517106560. Its totient is φ = 2492185113600.

The previous prime is 10124504051989. The next prime is 10124504052041. The reversal of 10124504052000 is 25040542101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468180 + ... + 4524179.

It is an arithmetic number, because the mean of its divisors is an integer number (124706656620).

Almost surely, 2^{10124504052000} is an apocalyptic number.

10124504052000 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 10124504052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17957758553280).

10124504052000 is an abundant number, since it is smaller than the sum of its proper divisors (25791013054560).

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

10124504052000 is a wasteful number, since it uses less digits than its factorization.

10124504052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992413 (or 4992382 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10124504052000 its reverse (25040542101), we get a palindrome (10149544594101).

The spelling of 10124504052000 in words is "ten trillion, one hundred twenty-four billion, five hundred four million, fifty-two thousand".