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122001203220 = 223513236800513
BaseRepresentation
bin111000110011111010…
…1101010000000010100
3102122220110210021020020
41301213311222000110
53444324302000340
6132014021105140
711546206055061
oct1614765520024
9378813707206
10122001203220
1147816553786
121b789b581b0
13b6739932a0
145c95035c68
153290a049d0
hex1c67d6a014

122001203220 has 96 divisors (see below), whose sum is σ = 383875414272. Its totient is φ = 28725362688.

The previous prime is 122001203201. The next prime is 122001203231. The reversal of 122001203220 is 22302100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122001203220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3382317 + ... + 3418196.

It is an arithmetic number, because the mean of its divisors is an integer number (3998702232).

Almost surely, 2122001203220 is an apocalyptic number.

122001203220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001203220 is an abundant number, since it is smaller than the sum of its proper divisors (261874211052).

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

122001203220 is a wasteful number, since it uses less digits than its factorization.

122001203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800561 (or 6800559 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 122001203220 its reverse (22302100221), we get a palindrome (144303303441).

It can be divided in two parts, 122001 and 203220, that added together give a triangular number (325221 = T806).

The spelling of 122001203220 in words is "one hundred twenty-two billion, one million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 17940 6800513 13601026 20401539 27202052 34002565 40803078 68005130 81606156 88406669 102007695 136010260 156411799 176813338 204015390 265220007 312823598 353626676 408030780 442033345 469235397 530440014 625647196 782058995 884066690 938470794 1060880028 1326100035 1564117990 1768133380 1876941588 2033353387 2346176985 2652200070 3128235980 4066706774 4692353970 5304400140 6100060161 8133413548 9384707940 10166766935 12200120322 20333533870 24400240644 30500300805 40667067740 61000601610 122001203220