12146795301732 has 144 divisors (see below), whose sum is σ = 35526037639680. Its totient is φ = 3201744043008.

The previous prime is 12146795301659. The next prime is 12146795301733. The reversal of 12146795301732 is 23710359764121.

It is a super-2 number, since 2×12146795301732² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12146795301733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13136269 + ... + 14030507.

It is an arithmetic number, because the mean of its divisors is an integer number (246708594720).

Almost surely, 2^{12146795301732} is an apocalyptic number.

12146795301732 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 12146795301732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763018819840).

12146795301732 is an abundant number, since it is smaller than the sum of its proper divisors (23379242337948).

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

12146795301732 is a wasteful number, since it uses less digits than its factorization.

12146795301732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896050 (or 896041 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 12146795301732 in words is "twelve trillion, one hundred forty-six billion, seven hundred ninety-five million, three hundred one thousand, seven hundred thirty-two".