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1222102122012 = 223353937722769
BaseRepresentation
bin10001110010001010111…
…101100111111000011100
311022211110101202020112000
4101302022331213320130
5130010331120401022
62333232001442300
7154202554432362
oct21621275477034
94284411666460
101222102122012
11431321873532
12178a27640390
138b322644305
1443215a8d632
1521bca28c6ac
hex11c8af67e1c

1222102122012 has 96 divisors (see below), whose sum is σ = 3228680347200. Its totient is φ = 399621021696.

The previous prime is 1222102122011. The next prime is 1222102122029. The reversal of 1222102122012 is 2102212012221.

It is a happy number.

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 (1222102122011) 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, 53662564 + ... + 53685332.

It is an arithmetic number, because the mean of its divisors is an integer number (33632086950).

Almost surely, 21222102122012 is an apocalyptic number.

1222102122012 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 1222102122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614340173600).

1222102122012 is an abundant number, since it is smaller than the sum of its proper divisors (2006578225188).

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

1222102122012 is a wasteful number, since it uses less digits than its factorization.

1222102122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32212 (or 32204 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1222102122012 its reverse (2102212012221), we get a palindrome (3324314134233).

The spelling of 1222102122012 in words is "one trillion, two hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 9377 18754 22769 28131 37508 45538 56262 68307 84393 91076 112524 136614 168786 204921 253179 273228 337572 409842 496981 506358 614763 819684 993962 1012716 1206757 1229526 1490943 1987924 2413514 2459052 2981886 3620271 4472829 4827028 5963772 7240542 8945658 10860813 13418487 14481084 17891316 21721626 26836974 32582439 43443252 53673948 65164878 130329756 213504913 427009826 640514739 854019652 1281029478 1921544217 2562058956 3843088434 5764632651 7686176868 11315760389 11529265302 22631520778 23058530604 33947281167 45263041556 67894562334 101841843501 135789124668 203683687002 305525530503 407367374004 611051061006 1222102122012