12021229652544 has 1120 divisors, whose sum is σ = 43796864643840. Its totient is φ = 3182278606848.

The previous prime is 12021229652503. The next prime is 12021229652623. The reversal of 12021229652544 is 44525692212021.

12021229652544 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 12 + 2 + 96 + 5 + 2 + 544 = 666.

12021229652544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12021229652544³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12021229652544.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20479096219 + ... + 20479096805.

It is an arithmetic number, because the mean of its divisors is an integer number (39104343432).

Almost surely, 2^{12021229652544} is an apocalyptic number.

12021229652544 is a gapful number since it is divisible by the number (14) 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 12021229652544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21898432321920).

12021229652544 is an abundant number, since it is smaller than the sum of its proper divisors (31775634991296).

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

12021229652544 is a wasteful number, since it uses less digits than its factorization.

12021229652544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12021229652544 in words is "twelve trillion, twenty-one billion, two hundred twenty-nine million, six hundred fifty-two thousand, five hundred forty-four".