12364655030000 has 400 divisors, whose sum is σ = 37394489932800. Its totient is φ = 3854784384000.

The previous prime is 12364655029921. The next prime is 12364655030009. The reversal of 12364655030000 is 3055646321.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364655030009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60868601 + ... + 61071399.

It is an arithmetic number, because the mean of its divisors is an integer number (93486224832).

Almost surely, 2^{12364655030000} is an apocalyptic number.

12364655030000 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 12364655030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697244966400).

12364655030000 is an abundant number, since it is smaller than the sum of its proper divisors (25029834902800).

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

12364655030000 is a wasteful number, since it uses less digits than its factorization.

12364655030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202914 (or 202893 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 12364655030000 in words is "twelve trillion, three hundred sixty-four billion, six hundred fifty-five million, thirty thousand".