12102468460992 has 672 divisors, whose sum is σ = 43453402836480. Its totient is φ = 3135585116160.

The previous prime is 12102468460961. The next prime is 12102468461011. The reversal of 12102468460992 is 29906486420121.

12102468460992 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 24 + 6 + 8 + 4 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 778736742 + ... + 778752282.

It is an arithmetic number, because the mean of its divisors is an integer number (64662801840).

Almost surely, 2^{12102468460992} is an apocalyptic number.

12102468460992 is a gapful number since it is divisible by the number (12) 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 12102468460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726701418240).

12102468460992 is an abundant number, since it is smaller than the sum of its proper divisors (31350934375488).

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

12102468460992 is a wasteful number, since it uses less digits than its factorization.

12102468460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12102468460992 in words is "twelve trillion, one hundred two billion, four hundred sixty-eight million, four hundred sixty thousand, nine hundred ninety-two".