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201211020022012 = 2272111317724758271
BaseRepresentation
bin101101110000000000010111…
…010111111001000011111100
3222101102120210221110021211021
4231300000113113321003330
5202333120132111201022
61551535022211233524
760245005435543600
oct5560002727710374
9871376727407737
10201211020022012
1159126129273050
121a6980635a88a4
13883716b991670
143798945951500
15183de614717c7
hexb700175f90fc

201211020022012 has 288 divisors, whose sum is σ = 509603956678656. Its totient is φ = 68096354457600.

The previous prime is 201211020021983. The next prime is 201211020022013. The reversal of 201211020022012 is 210220020112102.

It is a happy number.

201211020022012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211020022013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3452992437 + ... + 3453050707.

It is an arithmetic number, because the mean of its divisors is an integer number (1769458182912).

Almost surely, 2201211020022012 is an apocalyptic number.

201211020022012 is a gapful number since it is divisible by the number (22) 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 201211020022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254801978339328).

201211020022012 is an abundant number, since it is smaller than the sum of its proper divisors (308392936656644).

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

201211020022012 is a wasteful number, since it uses less digits than its factorization.

201211020022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65577 (or 65568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201211020022012 its reverse (210220020112102), we get a palindrome (411431040134114).

The spelling of 201211020022012 in words is "two hundred one trillion, two hundred eleven billion, twenty million, twenty-two thousand, twelve".