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212111201323120 = 24511241035456049
BaseRepresentation
bin110000001110100111111100…
…110011101100100001110000
31000211000122002022121200020211
4300032213330303230201300
5210300212220014314440
62031042312441513504
762451346206066331
oct6016477463544160
91024018068550224
10212111201323120
1161648945468090
121b9586a41a2894
139148001014138
143a5434617c288
15197c7747a4eea
hexc0e9fccec870

212111201323120 has 40 divisors (see below), whose sum is σ = 537991137903600. Its totient is φ = 77131345935360.

The previous prime is 212111201323031. The next prime is 212111201323129. The reversal of 212111201323120 is 21323102111212.

It is a happy number.

212111201323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212111201323091 and 212111201323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111201323129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120517727145 + ... + 120517728904.

It is an arithmetic number, because the mean of its divisors is an integer number (13449778447590).

Almost surely, 2212111201323120 is an apocalyptic number.

212111201323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111201323120 is an abundant number, since it is smaller than the sum of its proper divisors (325879936580480).

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

212111201323120 is a wasteful number, since it uses less digits than its factorization.

212111201323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241035456073 (or 241035456067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 212111201323120 its reverse (21323102111212), we get a palindrome (233434303434332).

The spelling of 212111201323120 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 241035456049 482070912098 964141824196 1205177280245 1928283648392 2410354560490 2651390016539 3856567296784 4820709120980 5302780033078 9641418241960 10605560066156 13256950082695 19282836483920 21211120132312 26513900165390 42422240264624 53027800330780 106055600661560 212111201323120