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2112022212120 = 233257182629977
BaseRepresentation
bin11110101110111110010…
…101010110111000011000
321110220111110101211212100
4132232332111112320120
5234100410141241440
64254125525443400
7305405610411462
oct36567625267030
97426443354770
102112022212120
11744781529887
122a13a7b70560
131242169b48a2
1474318471132
1539e128c4230
hex1ebbe556e18

2112022212120 has 96 divisors (see below), whose sum is σ = 6960749346720. Its totient is φ = 555273438720.

The previous prime is 2112022212119. The next prime is 2112022212137. The reversal of 2112022212120 is 212122202112.

It is a happy number.

2112022212120 is a `hidden beast` number, since 211 + 20 + 2 + 221 + 212 + 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 = 2112022212093 and 2112022212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41289429 + ... + 41340548.

It is an arithmetic number, because the mean of its divisors is an integer number (72507805695).

Almost surely, 22112022212120 is an apocalyptic number.

2112022212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112022212120 is an abundant number, since it is smaller than the sum of its proper divisors (4848727134600).

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

2112022212120 is a wasteful number, since it uses less digits than its factorization.

2112022212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82630065 (or 82630058 counting only the distinct ones).

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

Adding to 2112022212120 its reverse (212122202112), we get a palindrome (2324144414232).

The spelling of 2112022212120 in words is "two trillion, one hundred twelve billion, twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 82629977 165259954 247889931 330519908 413149885 495779862 661039816 743669793 826299770 991559724 1239449655 1487339586 1652599540 1983119448 2478899310 2974679172 3305199080 3718348965 4957798620 5866728367 5949358344 7436697930 9915597240 11733456734 14873395860 17600185101 23466913468 29333641835 29746791720 35200370202 46933826936 52800555303 58667283670 70400740404 88000925505 105601110606 117334567340 140801480808 176001851010 211202221212 234669134680 264002776515 352003702020 422404442424 528005553030 704007404040 1056011106060 2112022212120