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1112012201220 = 2235113889318443
BaseRepresentation
bin10000001011101001000…
…101111001110100000100
310221022022001010211000020
4100023221011321310010
5121204400110414340
62210503520415140
7143224461516234
oct20135105716404
93838261124006
101112012201220
11399668996618
1215b6227774b0
1380b2962254b
143bb7097dcc4
151ddd53319d0
hex102e9179d04

1112012201220 has 96 divisors (see below), whose sum is σ = 3141712006272. Its totient is φ = 293863385088.

The previous prime is 1112012201203. The next prime is 1112012201357. The reversal of 1112012201220 is 221022102111.

It is a super-3 number, since 3×11120122012203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1112012201220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60285319 + ... + 60303761.

It is an arithmetic number, because the mean of its divisors is an integer number (32726166732).

Almost surely, 21112012201220 is an apocalyptic number.

1112012201220 is a gapful number since it is divisible by the number (10) 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 1112012201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570856003136).

1112012201220 is an abundant number, since it is smaller than the sum of its proper divisors (2029699805052).

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

1112012201220 is a wasteful number, since it uses less digits than its factorization.

1112012201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27461 (or 27459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1112012201220 its reverse (221022102111), we get a palindrome (1333034303331).

The spelling of 1112012201220 in words is "one trillion, one hundred twelve billion, twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 8893 17786 18443 26679 35572 36886 44465 53358 55329 73772 88930 92215 106716 110658 133395 177860 184430 221316 266790 276645 368860 533580 553290 1004909 1106580 2009818 2084059 3014727 4019636 4168118 5024545 6029454 6252177 8336236 10049090 10420295 12058908 12504354 15073635 20098180 20840590 25008708 30147270 31260885 41681180 60294540 62521770 125043540 164013599 328027198 492040797 656054396 820067995 984081594 1640135990 1968163188 2460203985 3280271980 4920407970 9840815940 18533536687 37067073374 55600610061 74134146748 92667683435 111201220122 185335366870 222402440244 278003050305 370670733740 556006100610 1112012201220