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1112120122112 = 2829491305093
BaseRepresentation
bin10000001011101111100…
…001100101101100000000
310221022120120012202122022
4100023233201211230000
5121210110222401422
62210522333501012
7143230242031346
oct20135741455400
93838516182568
101112120122112
113997138a813a
1215b652941768
1380b45aaa46c
143bb81033996
151dddea4d342
hex102ef865b00

1112120122112 has 72 divisors (see below), whose sum is σ = 2301128781840. Its totient is φ = 535790366720.

The previous prime is 1112120122103. The next prime is 1112120122177. The reversal of 1112120122112 is 2112210212111.

It is a super-2 number, since 2×11121201221122 (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3492638 + ... + 3797730.

It is an arithmetic number, because the mean of its divisors is an integer number (31960121970).

Almost surely, 21112120122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150564390920).

1112120122112 is an abundant number, since it is smaller than the sum of its proper divisors (1189008659728).

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

1112120122112 is an equidigital number, since it uses as much as digits as its factorization.

1112120122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305629 (or 305615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1112120122112 its reverse (2112210212111), we get a palindrome (3224330334223).

The spelling of 1112120122112 in words is "one trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 491 928 982 1856 1964 3712 3928 7424 7856 14239 15712 28478 31424 56956 62848 113912 125696 227824 305093 455648 610186 911296 1220372 1822592 2440744 3645184 4881488 8847697 9762976 17695394 19525952 35390788 39051904 70781576 78103808 141563152 149800663 283126304 299601326 566252608 599202652 1132505216 1198405304 2265010432 2396810608 4344219227 4793621216 8688438454 9587242432 17376876908 19174484864 34753753816 38348969728 69507507632 139015015264 278030030528 556060061056 1112120122112