Search a number
-
+
20211222111200 = 2552203912390401
BaseRepresentation
bin1001001100001110010101…
…01101101110001111100000
32122120011200211010111200022
410212013022231232033200
510122120040330024300
6110552523545013012
74154132632240151
oct446071255561740
978504624114608
1020211222111200
116492592a814aa
1223250a1484168
13b37baa556ba3
144dc32a909928
15250b18620285
hex1261cab6e3e0

20211222111200 has 72 divisors (see below), whose sum is σ = 49364848416240. Its totient is φ = 8080523264000.

The previous prime is 20211222111191. The next prime is 20211222111209. The reversal of 20211222111200 is 211122211202.

It is an interprime number because it is at equal distance from previous prime (20211222111191) and next prime (20211222111209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211222111209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4564001 + ... + 7826400.

It is an arithmetic number, because the mean of its divisors is an integer number (685622894670).

Almost surely, 220211222111200 is an apocalyptic number.

20211222111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211222111200 is an abundant number, since it is smaller than the sum of its proper divisors (29153626305040).

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

20211222111200 is a wasteful number, since it uses less digits than its factorization.

20211222111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392460 (or 12392447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20211222111200 its reverse (211122211202), we get a palindrome (20422344322402).

The spelling of 20211222111200 in words is "twenty trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2039 4078 8156 10195 16312 20390 32624 40780 50975 65248 81560 101950 163120 203900 326240 407800 815600 1631200 12390401 24780802 49561604 61952005 99123208 123904010 198246416 247808020 309760025 396492832 495616040 619520050 991232080 1239040100 1982464160 2478080200 4956160400 9912320800 25264027639 50528055278 101056110556 126320138195 202112221112 252640276390 404224442224 505280552780 631600690975 808448884448 1010561105560 1263201381950 2021122211120 2526402763900 4042244422240 5052805527800 10105611055600 20211222111200