102412003500 has 576 divisors, whose sum is σ = 354026889216. Its totient is φ = 24820992000.

The previous prime is 102412003487. The next prime is 102412003511. The reversal of 102412003500 is 5300214201.

102412003500 is a `hidden beast` number, since 102 + 41 + 20 + 0 + 3 + 500 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 536188405 + ... + 536188595.

It is an arithmetic number, because the mean of its divisors is an integer number (614630016).

Almost surely, 2^102412003500 is an apocalyptic number.

102412003500 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 102412003500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177013444608).

102412003500 is an abundant number, since it is smaller than the sum of its proper divisors (251614885716).

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

102412003500 is a wasteful number, since it uses less digits than its factorization.

102412003500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 424 counting only the distinct ones).

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

Adding to 102412003500 its reverse (5300214201), we get a palindrome (107712217701).

The spelling of 102412003500 in words is "one hundred two billion, four hundred twelve million, three thousand, five hundred".