65010012132000 has 1536 divisors, whose sum is σ = 238606983014400. Its totient is φ = 15462899712000.

The previous prime is 65010012131993. The next prime is 65010012132001. The reversal of 65010012132000 is 23121001056.

It is not an unprimeable number, because it can be changed into a prime (65010012132001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148086587781 + ... + 148086588219.

It is an arithmetic number, because the mean of its divisors is an integer number (155343087900).

Almost surely, 2^{65010012132000} is an apocalyptic number.

65010012132000 is a gapful number since it is divisible by the number (60) 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 65010012132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119303491507200).

65010012132000 is an abundant number, since it is smaller than the sum of its proper divisors (173596970882400).

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

65010012132000 is a wasteful number, since it uses less digits than its factorization.

65010012132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 65010012132000 its reverse (23121001056), we get a palindrome (65033133133056).

The spelling of 65010012132000 in words is "sixty-five trillion, ten billion, twelve million, one hundred thirty-two thousand".