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120202122112 = 276134944111
BaseRepresentation
bin110111111110010011…
…0101101001110000000
3102111021002111110220121
41233330212231032000
53432133220401422
6131115312350024
711453502115462
oct1577446551600
9374232443817
10120202122112
1146a82a67496
121b367545314
13b448035557
145b6411c132
1531d7acd8c7
hex1bfc9ad380

120202122112 has 64 divisors (see below), whose sum is σ = 244093752000. Its totient is φ = 58945075200.

The previous prime is 120202122091. The next prime is 120202122119. The reversal of 120202122112 is 211221202021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2702937 + ... + 2747047.

It is an arithmetic number, because the mean of its divisors is an integer number (3813964875).

Almost surely, 2120202122112 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 120202122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122046876000).

120202122112 is an abundant number, since it is smaller than the sum of its proper divisors (123891629888).

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

120202122112 is an equidigital number, since it uses as much as digits as its factorization.

120202122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44535 (or 44523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120202122112 its reverse (211221202021), we get a palindrome (331423324133).

The spelling of 120202122112 in words is "one hundred twenty billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 349 488 698 976 1396 1952 2792 3904 5584 7808 11168 21289 22336 42578 44111 44672 85156 88222 170312 176444 340624 352888 681248 705776 1362496 1411552 2690771 2724992 2823104 5381542 5646208 10763084 15394739 21526168 30789478 43052336 61578956 86104672 123157912 172209344 246315824 344418688 492631648 939079079 985263296 1878158158 1970526592 3756316316 7512632632 15025265264 30050530528 60101061056 120202122112