20011012211120 has 320 divisors, whose sum is σ = 56995602048000. Its totient is φ = 6377810558976.

The previous prime is 20011012211119. The next prime is 20011012211161. The reversal of 20011012211120 is 2111221011002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20011012211095 and 20011012211104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 460774847 + ... + 460818273.

It is an arithmetic number, because the mean of its divisors is an integer number (178111256400).

Almost surely, 2^{20011012211120} is an apocalyptic number.

20011012211120 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 20011012211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28497801024000).

20011012211120 is an abundant number, since it is smaller than the sum of its proper divisors (36984589836880).

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

20011012211120 is a wasteful number, since it uses less digits than its factorization.

20011012211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44060 (or 44054 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20011012211120 its reverse (2111221011002), we get a palindrome (22122233222122).

The spelling of 20011012211120 in words is "twenty trillion, eleven billion, twelve million, two hundred eleven thousand, one hundred twenty".