10124296000 has 224 divisors, whose sum is σ = 30861073152. Its totient is φ = 3203942400.

The previous prime is 10124295971. The next prime is 10124296003. The reversal of 10124296000 is 69242101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124296003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721047 + ... + 734953.

It is an arithmetic number, because the mean of its divisors is an integer number (137772648).

Almost surely, 2^10124296000 is an apocalyptic number.

10124296000 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 10124296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430536576).

10124296000 is an abundant number, since it is smaller than the sum of its proper divisors (20736777152).

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

10124296000 is a wasteful number, since it uses less digits than its factorization.

10124296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954 (or 13934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 10124296000 in words is "ten billion, one hundred twenty-four million, two hundred ninety-six thousand".