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121122022012020 = 223351601140099963
BaseRepresentation
bin11011100010100011101011…
…000110001011010001110100
3120212212011002222010220222000
4123202203223012023101310
5111333430400113341040
61105334404434335300
734340530422006321
oct3342435306132164
9525764088126860
10121122022012020
1135658619865837
121170231412a530
1352779b0793093
1421ca4a11a7b48
15e009dd632130
hex6e28eb18b474

121122022012020 has 96 divisors (see below), whose sum is σ = 377059439111040. Its totient is φ = 32279031244800.

The previous prime is 121122022011973. The next prime is 121122022012021. The reversal of 121122022012020 is 20210220221121.

It is a happy number.

121122022012020 is a `hidden beast` number, since 1 + 21 + 1 + 220 + 220 + 1 + 202 + 0 = 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 = 121122022011984 and 121122022012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122022012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69185442 + ... + 70914521.

It is an arithmetic number, because the mean of its divisors is an integer number (3927702490740).

Almost surely, 2121122022012020 is an apocalyptic number.

121122022012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122022012020 is an abundant number, since it is smaller than the sum of its proper divisors (255937417099020).

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

121122022012020 is a wasteful number, since it uses less digits than its factorization.

121122022012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140101582 (or 140101574 counting only the distinct ones).

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

Adding to 121122022012020 its reverse (20210220221121), we get a palindrome (141332242233141).

The spelling of 121122022012020 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1601 3202 4803 6404 8005 9606 14409 16010 19212 24015 28818 32020 43227 48030 57636 72045 86454 96060 144090 172908 216135 288180 432270 864540 140099963 280199926 420299889 560399852 700499815 840599778 1260899667 1400999630 1681199556 2101499445 2521799334 2801999260 3782699001 4202998890 5043598668 6304498335 7565398002 8405997780 12608996670 15130796004 18913495005 25217993340 37826990010 75653980020 224300040763 448600081526 672900122289 897200163052 1121500203815 1345800244578 2018700366867 2243000407630 2691600489156 3364500611445 4037400733734 4486000815260 6056101100601 6729001222890 8074801467468 10093501834335 12112202201202 13458002445780 20187003668670 24224404402404 30280505503005 40374007337340 60561011006010 121122022012020