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22110222001120 = 255117310113712437
BaseRepresentation
bin1010000011011111011111…
…11011011010001111100000
32220021201100101110011021121
411001233233323122033200
510344223213313013440
6115005143515102024
74441260625050001
oct501575773321740
986251311404247
1022110222001120
11705498a9a8730
122591138741914
13c44ca60334c6
145661d759d1a8
1528520e6ae34a
hex141befeda3e0

22110222001120 has 384 divisors, whose sum is σ = 58767142799232. Its totient is φ = 7793491968000.

The previous prime is 22110222001079. The next prime is 22110222001157. The reversal of 22110222001120 is 2110022201122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22110222001094 and 22110222001103.

It is a congruent number.

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, 1777771542 + ... + 1777783978.

It is an arithmetic number, because the mean of its divisors is an integer number (153039434373).

Almost surely, 222110222001120 is an apocalyptic number.

22110222001120 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 22110222001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29383571399616).

22110222001120 is an abundant number, since it is smaller than the sum of its proper divisors (36656920798112).

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

22110222001120 is a wasteful number, since it uses less digits than its factorization.

22110222001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12774 (or 12766 counting only the distinct ones).

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

Adding to 22110222001120 its reverse (2110022201122), we get a palindrome (24220244202242).

It can be divided in two parts, 221102 and 22001120, that added together give a palindrome (22222222).

The spelling of 22110222001120 in words is "twenty-two trillion, one hundred ten billion, two hundred twenty-two million, one thousand, one hundred twenty".