12132545002000 has 80 divisors (see below), whose sum is σ = 29353352608944. Its totient is φ = 4850229120000.

The previous prime is 12132545001979. The next prime is 12132545002103. The reversal of 12132545002000 is 20054523121.

It can be written as a sum of positive squares in 8 ways, for example, as 10913693673744 + 1218851328256 = 3303588^2 + 1104016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1739820 + ... + 5224180.

Almost surely, 2^{12132545002000} is an apocalyptic number.

12132545002000 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 12132545002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676676304472).

12132545002000 is an abundant number, since it is smaller than the sum of its proper divisors (17220807606944).

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

12132545002000 is a wasteful number, since it uses less digits than its factorization.

12132545002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486125 (or 3486109 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 12132545002000 its reverse (20054523121), we get a palindrome (12152599525121).

The spelling of 12132545002000 in words is "twelve trillion, one hundred thirty-two billion, five hundred forty-five million, two thousand".