12145828331520 has 1536 divisors, whose sum is σ = 48604128168960. Its totient is φ = 2889476997120.

The previous prime is 12145828331503. The next prime is 12145828331543. The reversal of 12145828331520 is 2513382854121.

12145828331520 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 58 + 283 + 315 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×12145828331520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16044686982 + ... + 16044687738.

It is an arithmetic number, because the mean of its divisors is an integer number (31643312610).

Almost surely, 2^{12145828331520} is an apocalyptic number.

12145828331520 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 12145828331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24302064084480).

12145828331520 is an abundant number, since it is smaller than the sum of its proper divisors (36458299837440).

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

12145828331520 is an frugal number, since it uses more digits than its factorization.

12145828331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12145828331520 in words is "twelve trillion, one hundred forty-five billion, eight hundred twenty-eight million, three hundred thirty-one thousand, five hundred twenty".