12142357896000 has 224 divisors, whose sum is σ = 40124986836480. Its totient is φ = 3235464960000.

The previous prime is 12142357895989. The next prime is 12142357896037. The reversal of 12142357896000 is 69875324121.

12142357896000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31029561 + ... + 31418439.

It is an arithmetic number, because the mean of its divisors is an integer number (179129405520).

It is a 1-persistent number, because it is pandigital, but 2⋅12142357896000 = 24284715792000 is not.

Almost surely, 2^{12142357896000} is an apocalyptic number.

12142357896000 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 12142357896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20062493418240).

12142357896000 is an abundant number, since it is smaller than the sum of its proper divisors (27982628940480).

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

12142357896000 is a wasteful number, since it uses less digits than its factorization.

12142357896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390210 (or 390190 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 12142357896000 in words is "twelve trillion, one hundred forty-two billion, three hundred fifty-seven million, eight hundred ninety-six thousand".