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120122201121102 = 232378331159311783
BaseRepresentation
bin11011010100000000100001…
…001000001010000101001110
3120202022120101201202011221200
4123110000201020022011032
5111221040231441333402
61103251213303010330
734205354060445225
oct3324004110120516
9522276351664850
10120122201121102
11353025a2a54184
12115805a21399a6
135204623648a5b
142193d34865cbc
15dd49c299a21c
hex6d402120a14e

120122201121102 has 192 divisors, whose sum is σ = 271869984562176. Its totient is φ = 38297464519680.

The previous prime is 120122201121061. The next prime is 120122201121121. The reversal of 120122201121102 is 201121102221021.

120122201121102 is a `hidden beast` number, since 120 + 122 + 201 + 121 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10194528703 + ... + 10194540485.

It is an arithmetic number, because the mean of its divisors is an integer number (1415989502928).

Almost surely, 2120122201121102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120122201121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135934992281088).

120122201121102 is an abundant number, since it is smaller than the sum of its proper divisors (151747783441074).

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

120122201121102 is a wasteful number, since it uses less digits than its factorization.

120122201121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12815 (or 12812 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122201121102 its reverse (201121102221021), we get a palindrome (321243303342123).

The spelling of 120122201121102 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-one thousand, one hundred two".