20211024000 has 256 divisors, whose sum is σ = 67296303360. Its totient is φ = 5365760000.

The previous prime is 20211023993. The next prime is 20211024017. The reversal of 20211024000 is 42011202.

It is a super-2 number, since 2×20211024000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12623200 + ... + 12624800.

It is an arithmetic number, because the mean of its divisors is an integer number (262876185).

Almost surely, 2^20211024000 is an apocalyptic number.

20211024000 is a gapful number since it is divisible by the number (20) 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 20211024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33648151680).

20211024000 is an abundant number, since it is smaller than the sum of its proper divisors (47085279360).

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

20211024000 is a wasteful number, since it uses less digits than its factorization.

20211024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20211024000 its reverse (42011202), we get a palindrome (20253035202).

The spelling of 20211024000 in words is "twenty billion, two hundred eleven million, twenty-four thousand".