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120110222022120 = 2333511167155938833
BaseRepresentation
bin11011010011110101010111…
…000111100001010111101000
3120202021102110212221220102000
4123103311113013201113220
5111220341213314201440
61103241512501211000
734204451162002341
oct3323652707412750
9522242425856360
10120110222022120
11352a8506078880
121157a1ba400a60
1352034649217c5
1421935199290c8
15dd4520ea7730
hex6d3d571e15e8

120110222022120 has 512 divisors, whose sum is σ = 439672955904000. Its totient is φ = 28923962388480.

The previous prime is 120110222022097. The next prime is 120110222022139. The reversal of 120110222022120 is 21220222011021.

It is a happy number.

120110222022120 is a `hidden beast` number, since 1 + 201 + 1 + 0 + 2 + 220 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120110222022093 and 120110222022102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3092974224 + ... + 3093013056.

It is an arithmetic number, because the mean of its divisors is an integer number (858736242000).

Almost surely, 2120110222022120 is an apocalyptic number.

120110222022120 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 120110222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219836477952000).

120110222022120 is an abundant number, since it is smaller than the sum of its proper divisors (319562733881880).

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

120110222022120 is a wasteful number, since it uses less digits than its factorization.

120110222022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40590 (or 40580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120110222022120 its reverse (21220222011021), we get a palindrome (141330444033141).

The spelling of 120110222022120 in words is "one hundred twenty trillion, one hundred ten billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".