20111021220000 has 480 divisors, whose sum is σ = 69055731892224. Its totient is φ = 5116809600000.

The previous prime is 20111021219981. The next prime is 20111021220013. The reversal of 20111021220000 is 2212011102.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20111021220000² (a number of 27 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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131983857 + ... + 132136143.

Almost surely, 2^{20111021220000} is an apocalyptic number.

20111021220000 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 20111021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34527865946112).

20111021220000 is an abundant number, since it is smaller than the sum of its proper divisors (48944710672224).

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

20111021220000 is a wasteful number, since it uses less digits than its factorization.

20111021220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152422 (or 152399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20111021220000 its reverse (2212011102), we get a palindrome (20113233231102).

The spelling of 20111021220000 in words is "twenty trillion, one hundred eleven billion, twenty-one million, two hundred twenty thousand".