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11201222102112 = 253372833653743
BaseRepresentation
bin1010001011111111110011…
…0111010100110001100000
31110122211022102112120202000
42202333330313110301200
52432010100324231422
635453434223324000
72234155503631260
oct242777467246140
943584272476660
1011201222102112
113629458952559
12130aa56750600
136333699a5873
142aa1dba9b7a0
15146582082cac
hexa2ffcdd4c60

11201222102112 has 192 divisors, whose sum is σ = 37350643599360. Its totient is φ = 3199214610432.

The previous prime is 11201222102047. The next prime is 11201222102117. The reversal of 11201222102112 is 21120122210211.

11201222102112 is a `hidden beast` number, since 1 + 120 + 122 + 210 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201222102117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16807113 + ... + 17460855.

It is an arithmetic number, because the mean of its divisors is an integer number (194534602080).

Almost surely, 211201222102112 is an apocalyptic number.

11201222102112 is a gapful number since it is divisible by the number (12) 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 11201222102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675321799680).

11201222102112 is an abundant number, since it is smaller than the sum of its proper divisors (26149421497248).

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

11201222102112 is a wasteful number, since it uses less digits than its factorization.

11201222102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656602 (or 656588 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11201222102112 its reverse (21120122210211), we get a palindrome (32321344312323).

It can be divided in two parts, 1120122210211 and 2, that multiplied together give a palindrome (2240244420422).

The spelling of 11201222102112 in words is "eleven trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred twelve".