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120221012020120 = 235114379113711793
BaseRepresentation
bin11011010101011100100010…
…101101110100101110011000
3120202200000110000212221022021
4123111130202231310232120
5111224200113034120440
61103404434231304224
734215452515311064
oct3325344255645630
9522600400787267
10120221012020120
11353404991480a0
121159777981b074
135210a3c9abb3b
142198a299d2aa4
15dd73575ed84a
hex6d5722b74b98

120221012020120 has 256 divisors, whose sum is σ = 308478992025600. Its totient is φ = 41786404208640.

The previous prime is 120221012020117. The next prime is 120221012020127. The reversal of 120221012020120 is 21020210122021.

It is a happy number.

It is a super-2 number, since 2×1202210120201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120221012020094 and 120221012020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221012020127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168542944 + ... + 169254736.

It is an arithmetic number, because the mean of its divisors is an integer number (1204996062600).

Almost surely, 2120221012020120 is an apocalyptic number.

120221012020120 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 120221012020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154239496012800).

120221012020120 is an abundant number, since it is smaller than the sum of its proper divisors (188257980005480).

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

120221012020120 is a wasteful number, since it uses less digits than its factorization.

120221012020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712050 (or 712046 counting only the distinct ones).

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

Adding to 120221012020120 its reverse (21020210122021), we get a palindrome (141241222142141).

The spelling of 120221012020120 in words is "one hundred twenty trillion, two hundred twenty-one billion, twelve million, twenty thousand, one hundred twenty".