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11210122221012 = 223211132483134673
BaseRepresentation
bin1010001100100000111101…
…0110100101010111010100
31110200200021200200110122100
42203020033112211113110
52432131312242033022
635501505320002100
72234622164453631
oct243101726452724
943620250613570
1011210122221012
113632205823620
12131071b300330
13634157854500
142aa803b13188
151469035d01ac
hexa320f5a55d4

11210122221012 has 216 divisors, whose sum is σ = 33481476258048. Its totient is φ = 3134959027200.

The previous prime is 11210122220987. The next prime is 11210122221013. The reversal of 11210122221012 is 21012222101211.

11210122221012 is a `hidden beast` number, since 11 + 210 + 1 + 222 + 210 + 12 = 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 (11210122221013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323292508 + ... + 323327180.

It is an arithmetic number, because the mean of its divisors is an integer number (155006834528).

Almost surely, 211210122221012 is an apocalyptic number.

11210122221012 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 11210122221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740738129024).

11210122221012 is an abundant number, since it is smaller than the sum of its proper divisors (22271354037036).

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

11210122221012 is a wasteful number, since it uses less digits than its factorization.

11210122221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39551 (or 39533 counting only the distinct ones).

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

Adding to 11210122221012 its reverse (21012222101211), we get a palindrome (32222344322223).

It can be divided in two parts, 11 and 210122221012, that multiplied together give a palindrome (2311344431132).

The spelling of 11210122221012 in words is "eleven trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, twelve".