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2122110120 = 2335131360327
BaseRepresentation
bin111111001111100…
…1101010010101000
312110220010100211010
41332133031102220
513321230010440
6550324103520
7103405431654
oct17637152250
95426110733
102122110120
1199996a819
124b2834ba0
1327a85c880
14161ba3a64
15c6483580
hex7e7cd4a8

2122110120 has 64 divisors (see below), whose sum is σ = 6856053120. Its totient is φ = 522365184.

The previous prime is 2122110083. The next prime is 2122110121. The reversal of 2122110120 is 210112212.

It is a super-2 number, since 2×21221101202 = 9006702722812828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2122110096 and 2122110105.

It is not an unprimeable number, because it can be changed into a prime (2122110121) 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, 678604 + ... + 681723.

It is an arithmetic number, because the mean of its divisors is an integer number (107125830).

Almost surely, 22122110120 is an apocalyptic number.

2122110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122110120 is an abundant number, since it is smaller than the sum of its proper divisors (4733943000).

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

2122110120 is a wasteful number, since it uses less digits than its factorization.

2122110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360354 (or 1360350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2122110120 is about 46066.3664727315. The cubic root of 2122110120 is about 1285.0577313109.

Adding to 2122110120 its reverse (210112212), we get a palindrome (2332222332).

The spelling of 2122110120 in words is "two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1360327 2720654 4080981 5441308 6801635 8161962 10882616 13603270 16323924 17684251 20404905 27206540 32647848 35368502 40809810 53052753 54413080 70737004 81619620 88421255 106105506 141474008 163239240 176842510 212211012 265263765 353685020 424422024 530527530 707370040 1061055060 2122110120