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120142222112 = 251117193189383
BaseRepresentation
bin110111111100100001…
…0001101001100100000
3102111002220210020120002
41233321002031030200
53432022402101422
6131105332435132
711452144016063
oct1577102151440
9374086706502
10120142222112
1146a52174760
121b34b478aa8
13b4387c1c73
145b5a1a88da
1531d26ea692
hex1bf908d320

120142222112 has 384 divisors, whose sum is σ = 300987187200. Its totient is φ = 46470758400.

The previous prime is 120142222111. The next prime is 120142222117. The reversal of 120142222112 is 211222241021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120142222111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 313687073 + ... + 313687455.

It is an arithmetic number, because the mean of its divisors is an integer number (783820800).

Almost surely, 2120142222112 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 120142222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150493593600).

120142222112 is an abundant number, since it is smaller than the sum of its proper divisors (180844965088).

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

120142222112 is a wasteful number, since it uses less digits than its factorization.

120142222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120142222112 its reverse (211222241021), we get a palindrome (331364463133).

The spelling of 120142222112 in words is "one hundred twenty billion, one hundred forty-two million, two hundred twenty-two thousand, one hundred twelve".