102503412000 has 288 divisors, whose sum is σ = 396857470464. Its totient is φ = 24849216000.

The previous prime is 102503411951. The next prime is 102503412043. The reversal of 102503412000 is 214305201.

102503412000 is a `hidden beast` number, since 1 + 0 + 250 + 3 + 412 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 266577 + ... + 525423.

It is an arithmetic number, because the mean of its divisors is an integer number (1377977328).

Almost surely, 2^102503412000 is an apocalyptic number.

102503412000 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 102503412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198428735232).

102503412000 is an abundant number, since it is smaller than the sum of its proper divisors (294354058464).

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

102503412000 is a wasteful number, since it uses less digits than its factorization.

102503412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258889 (or 258868 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102503412000 its reverse (214305201), we get a palindrome (102717717201).

The spelling of 102503412000 in words is "one hundred two billion, five hundred three million, four hundred twelve thousand".