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212211110110120 = 23511615537835491
BaseRepresentation
bin110000010000000100111111…
…110101011110001110101000
31000211101011222010121220210021
4300100010333311132032220
5210303331323142010440
62031200234345530224
762461514064550612
oct6020047765361650
91024334863556707
10212211110110120
1161687254363540
121b973b274a3974
139154563968794
143a59103057db2
1519801709c384a
hexc1013fd5e3a8

212211110110120 has 64 divisors (see below), whose sum is σ = 520890344533440. Its totient is φ = 77166412876800.

The previous prime is 212211110110093. The next prime is 212211110110151. The reversal of 212211110110120 is 21011011112212.

It is a junction number, because it is equal to n+sod(n) for n = 212211110110094 and 212211110110103.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23165575 + ... + 31001065.

It is an arithmetic number, because the mean of its divisors is an integer number (8138911633335).

Almost surely, 2212211110110120 is an apocalyptic number.

212211110110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211110110120 is an abundant number, since it is smaller than the sum of its proper divisors (308679234423320).

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

212211110110120 is a wasteful number, since it uses less digits than its factorization.

212211110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897066 (or 7897062 counting only the distinct ones).

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

Adding to 212211110110120 its reverse (21011011112212), we get a palindrome (233222121222332).

The spelling of 212211110110120 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 61553 123106 246212 307765 492424 615530 677083 1231060 1354166 2462120 2708332 3385415 5416664 6770830 7835491 13541660 15670982 27083320 31341964 39177455 62683928 78354910 86190401 156709820 172380802 313419640 344761604 430952005 689523208 861904010 1723808020 3447616040 482297977523 964595955046 1929191910092 2411489887615 3858383820184 4822979775230 5305277752753 9645959550460 10610555505506 19291919100920 21221111011012 26526388763765 42442222022024 53052777527530 106105555055060 212211110110120