12021258533760 has 768 divisors, whose sum is σ = 48313949299200. Its totient is φ = 2697292431360.

The previous prime is 12021258533743. The next prime is 12021258533783. The reversal of 12021258533760 is 6733585212021.

12021258533760 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 2 + 58 + 533 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1872175350 + ... + 1872181770.

It is an arithmetic number, because the mean of its divisors is an integer number (62908788150).

Almost surely, 2^{12021258533760} is an apocalyptic number.

12021258533760 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 12021258533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24156974649600).

12021258533760 is an abundant number, since it is smaller than the sum of its proper divisors (36292690765440).

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

12021258533760 is a wasteful number, since it uses less digits than its factorization.

12021258533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7284 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12021258533760 in words is "twelve trillion, twenty-one billion, two hundred fifty-eight million, five hundred thirty-three thousand, seven hundred sixty".