12142262222464 has 128 divisors (see below), whose sum is σ = 27248208192000. Its totient is φ = 5339556249600.

The previous prime is 12142262222443. The next prime is 12142262222471. The reversal of 12142262222464 is 46422226224121.

12142262222464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 150501624 + ... + 150582280.

It is an arithmetic number, because the mean of its divisors is an integer number (212876626500).

Almost surely, 2^{12142262222464} 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 12142262222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624104096000).

12142262222464 is an abundant number, since it is smaller than the sum of its proper divisors (15105945969536).

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

12142262222464 is a wasteful number, since it uses less digits than its factorization.

12142262222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84162 (or 84150 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

Adding to 12142262222464 its reverse (46422226224121), we get a palindrome (58564488446585).

The spelling of 12142262222464 in words is "twelve trillion, one hundred forty-two billion, two hundred sixty-two million, two hundred twenty-two thousand, four hundred sixty-four".