12021020011000 has 1536 divisors, whose sum is σ = 39637138544640. Its totient is φ = 3353011200000.

The previous prime is 12021020010991. The next prime is 12021020011027. The reversal of 12021020011000 is 11002012021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36317280835 + ... + 36317281165.

It is an arithmetic number, because the mean of its divisors is an integer number (25805428740).

Almost surely, 2^{12021020011000} is an apocalyptic number.

12021020011000 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 12021020011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818569272320).

12021020011000 is an abundant number, since it is smaller than the sum of its proper divisors (27616118533640).

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

12021020011000 is a wasteful number, since it uses less digits than its factorization.

12021020011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12021020011000 its reverse (11002012021), we get a palindrome (12032022023021).

The spelling of 12021020011000 in words is "twelve trillion, twenty-one billion, twenty million, eleven thousand".