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120221301121332 = 22343593948932503
BaseRepresentation
bin11011010101011100110011…
…111100101010000100110100
3120202200001012011212210121120
4123111130303330222010310
5111224201211041340312
61103404523035543540
734215462625525545
oct3325346374520464
9522601164783546
10120221301121332
1135340627358114
121159783a5babb0
135210a87861c48
142198a5616a4cc
15dd7372ba828c
hex6d5733f2a134

120221301121332 has 48 divisors (see below), whose sum is σ = 291905090695680. Its totient is φ = 38478398299488.

The previous prime is 120221301121291. The next prime is 120221301121333. The reversal of 120221301121332 is 233121103122021.

120221301121332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1202213011213322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221301121333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974435808 + ... + 1974496695.

It is an arithmetic number, because the mean of its divisors is an integer number (6081356056160).

Almost surely, 2120221301121332 is an apocalyptic number.

120221301121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120221301121332 is an abundant number, since it is smaller than the sum of its proper divisors (171683789574348).

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

120221301121332 is a wasteful number, since it uses less digits than its factorization.

120221301121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948932612 (or 3948932610 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 120221301121332 its reverse (233121103122021), we get a palindrome (353342404243353).

The spelling of 120221301121332 in words is "one hundred twenty trillion, two hundred twenty-one billion, three hundred one million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 43 59 86 118 129 172 177 236 258 354 516 708 2537 5074 7611 10148 15222 30444 3948932503 7897865006 11846797509 15795730012 23693595018 47387190036 169804097629 232987017677 339608195258 465974035354 509412292887 679216390516 698961053031 931948070708 1018824585774 1397922106062 2037649171548 2795844212124 10018441760111 20036883520222 30055325280333 40073767040444 60110650560666 120221301121332