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1120342214112 = 253112274673701
BaseRepresentation
bin10000010011011001100…
…110011000010111100000
310222002210120112022111020
4100103121212120113200
5121323430101322422
62214402245445440
7143641060460142
oct20233146302740
93862716468436
101120342214112
113a2152a775a0
12161168410880
1381856341264
143c320dd0c92
151e2217b895c
hex104d99985e0

1120342214112 has 96 divisors (see below), whose sum is σ = 3222386665344. Its totient is φ = 338001984000.

The previous prime is 1120342214087. The next prime is 1120342214183. The reversal of 1120342214112 is 2114122430211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2097139 + ... + 2576562.

It is an arithmetic number, because the mean of its divisors is an integer number (33566527764).

Almost surely, 21120342214112 is an apocalyptic number.

1120342214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120342214112 is an abundant number, since it is smaller than the sum of its proper divisors (2102044451232).

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

1120342214112 is a wasteful number, since it uses less digits than its factorization.

1120342214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673952 (or 4673944 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1120342214112 its reverse (2114122430211), we get a palindrome (3234464644323).

The spelling of 1120342214112 in words is "one trillion, one hundred twenty billion, three hundred forty-two million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 227 264 352 454 528 681 908 1056 1362 1816 2497 2724 3632 4994 5448 7264 7491 9988 10896 14982 19976 21792 29964 39952 59928 79904 119856 239712 4673701 9347402 14021103 18694804 28042206 37389608 51410711 56084412 74779216 102821422 112168824 149558432 154232133 205642844 224337648 308464266 411285688 448675296 616928532 822571376 1060930127 1233857064 1645142752 2121860254 2467714128 3182790381 4243720508 4935428256 6365580762 8487441016 11670231397 12731161524 16974882032 23340462794 25462323048 33949764064 35010694191 46680925588 50924646096 70021388382 93361851176 101849292192 140042776764 186723702352 280085553528 373447404704 560171107056 1120342214112