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11201112020120 = 23511217223397877
BaseRepresentation
bin1010001011111111011001…
…0011011001010010011000
31110122211000202101211122012
42202333312103121102120
52432004334134120440
635453415252045052
72234152666145441
oct242776623312230
943584022354565
1011201112020120
1136294017a5300
12130aa25903788
1363334cc420a9
142aa1cb2042c8
1514657758ae65
hexa2ff64d9498

11201112020120 has 576 divisors, whose sum is σ = 30819199602240. Its totient is φ = 3653453168640.

The previous prime is 11201112020003. The next prime is 11201112020129. The reversal of 11201112020120 is 2102021110211.

It is a junction number, because it is equal to n+sod(n) for n = 11201112020095 and 11201112020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201112020129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12772077122 + ... + 12772077998.

It is an arithmetic number, because the mean of its divisors is an integer number (53505554865).

Almost surely, 211201112020120 is an apocalyptic number.

11201112020120 is a gapful number since it is divisible by the number (10) 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 11201112020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15409599801120).

11201112020120 is an abundant number, since it is smaller than the sum of its proper divisors (19618087582120).

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

11201112020120 is a wasteful number, since it uses less digits than its factorization.

11201112020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1332 counting only the distinct ones).

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

Adding to 11201112020120 its reverse (2102021110211), we get a palindrome (13303133130331).

Subtracting from 11201112020120 its reverse (2102021110211), we obtain a palindrome (9099090909909).

The spelling of 11201112020120 in words is "eleven trillion, two hundred one billion, one hundred twelve million, twenty thousand, one hundred twenty".