102512672000 has 144 divisors (see below), whose sum is σ = 256342741200. Its totient is φ = 40849203200.

The previous prime is 102512671979. The next prime is 102512672089. The reversal of 102512672000 is 276215201.

It can be written as a sum of positive squares in 8 ways, for example, as 67999949824 + 34512722176 = 260768^2 + 185776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8602046 + ... + 8613954.

It is an arithmetic number, because the mean of its divisors is an integer number (1780157925).

Almost surely, 2^102512672000 is an apocalyptic number.

102512672000 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 102512672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128171370600).

102512672000 is an abundant number, since it is smaller than the sum of its proper divisors (153830069200).

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

102512672000 is an equidigital number, since it uses as much as digits as its factorization.

102512672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 102512672000 its reverse (276215201), we get a palindrome (102788887201).

The spelling of 102512672000 in words is "one hundred two billion, five hundred twelve million, six hundred seventy-two thousand".