103512124800 has 768 divisors, whose sum is σ = 446990438400. Its totient is φ = 22892544000.

The previous prime is 103512124799. The next prime is 103512124801. The reversal of 103512124800 is 8421215301.

103512124800 is a `hidden beast` number, since 103 + 512 + 1 + 2 + 48 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103512124799) and next prime (103512124801).

It is a super-2 number, since 2×103512124800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103512124801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18746040 + ... + 18751560.

It is an arithmetic number, because the mean of its divisors is an integer number (582018800).

Almost surely, 2^103512124800 is an apocalyptic number.

103512124800 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 103512124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223495219200).

103512124800 is an abundant number, since it is smaller than the sum of its proper divisors (343478313600).

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

103512124800 is a wasteful number, since it uses less digits than its factorization.

103512124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 103512124800 in words is "one hundred three billion, five hundred twelve million, one hundred twenty-four thousand, eight hundred".