102412000224 has 144 divisors (see below), whose sum is σ = 298547396784. Its totient is φ = 33281280000.

The previous prime is 102412000213. The next prime is 102412000247. The reversal of 102412000224 is 422000214201.

102412000224 is a `hidden beast` number, since 1 + 0 + 241 + 200 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 102412000197 and 102412000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26577882 + ... + 26581734.

It is an arithmetic number, because the mean of its divisors is an integer number (2073245811).

Almost surely, 2^102412000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102412000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149273698392).

102412000224 is an abundant number, since it is smaller than the sum of its proper divisors (196135396560).

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

102412000224 is a wasteful number, since it uses less digits than its factorization.

102412000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102412000224 its reverse (422000214201), we get a palindrome (524412214425).

The spelling of 102412000224 in words is "one hundred two billion, four hundred twelve million, two hundred twenty-four", and thus it is an aban number.