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1210111121112 = 2333753110323311
BaseRepresentation
bin10001100111000000001…
…111100101011011011000
311021200111201120021121120
4101213000033211123120
5124311301421333422
62323530053005240
7153266452546155
oct21470017453330
94250451507546
101210111121112
114272291a9033
1217663b923820
138a1613108ca
14427d933522c
15217276e845c
hex119c03e56d8

1210111121112 has 128 divisors (see below), whose sum is σ = 3168671477760. Its totient is φ = 384697797120.

The previous prime is 1210111121111. The next prime is 1210111121117. The reversal of 1210111121112 is 2111211110121.

It is a junction number, because it is equal to n+sod(n) for n = 1210111121091 and 1210111121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210111121111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51899937 + ... + 51923247.

It is an arithmetic number, because the mean of its divisors is an integer number (24755245920).

Almost surely, 21210111121112 is an apocalyptic number.

1210111121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210111121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584335738880).

1210111121112 is an abundant number, since it is smaller than the sum of its proper divisors (1958560356648).

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

1210111121112 is a wasteful number, since it uses less digits than its factorization.

1210111121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513 (or 24509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1210111121112 its reverse (2111211110121), we get a palindrome (3321322231233).

The spelling of 1210111121112 in words is "one trillion, two hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 1103 1272 1961 2206 3309 3922 4412 5883 6618 7844 8824 11766 13236 15688 23311 23532 26472 40811 46622 47064 58459 69933 81622 93244 116918 122433 139866 163244 175377 186488 233836 244866 279732 326488 350754 467672 489732 559464 701508 862507 979464 1235483 1403016 1725014 2162983 2470966 2587521 3450028 3706449 4325966 4941932 5175042 6488949 6900056 7412898 8651932 9883864 10350084 12977898 14825796 17303864 20700168 25712033 25955796 29651592 45712871 51424066 51911592 77136099 91425742 102848132 137138613 154272198 182851484 205696264 274277226 308544396 365702968 548554452 617088792 951345221 1097108904 1362737749 1902690442 2725475498 2854035663 3805380884 4088213247 5450950996 5708071326 7610761768 8176426494 10901901992 11416142652 16352852988 22832285304 32705705976 50421296713 100842593426 151263890139 201685186852 302527780278 403370373704 605055560556 1210111121112