12242355510000 has 1200 divisors, whose sum is σ = 51882832679040. Its totient is φ = 2456052480000.

The previous prime is 12242355509981. The next prime is 12242355510017. The reversal of 12242355510000 is 1555324221.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12242355510000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 468916947 + ... + 468943053.

Almost surely, 2^{12242355510000} is an apocalyptic number.

12242355510000 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 12242355510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25941416339520).

12242355510000 is an abundant number, since it is smaller than the sum of its proper divisors (39640477169040).

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

12242355510000 is a wasteful number, since it uses less digits than its factorization.

12242355510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26192 (or 26164 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 12242355510000 in words is "twelve trillion, two hundred forty-two billion, three hundred fifty-five million, five hundred ten thousand".