20212511330000 has 400 divisors, whose sum is σ = 54953160909504. Its totient is φ = 7135050240000.

The previous prime is 20212511329909. The next prime is 20212511330017. The reversal of 20212511330000 is 3311521202.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×20212511330000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859984567 + ... + 1859995433.

Almost surely, 2^{20212511330000} is an apocalyptic number.

20212511330000 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 20212511330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27476580454752).

20212511330000 is an abundant number, since it is smaller than the sum of its proper divisors (34740649579504).

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

20212511330000 is a wasteful number, since it uses less digits than its factorization.

20212511330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 20212511330000 its reverse (3311521202), we get a palindrome (20215822851202).

The spelling of 20212511330000 in words is "twenty trillion, two hundred twelve billion, five hundred eleven million, three hundred thirty thousand".