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122004420 = 223523211419
BaseRepresentation
bin1110100010110…
…10001111000100
322111120110121020
413101122033010
5222213120140
620034551140
73011010006
oct721321704
9274513536
10122004420
11629607aa
1234a384b0
131c379385
14122bc376
15aa9e6d0
hex745a3c4

122004420 has 96 divisors (see below), whose sum is σ = 359009280. Its totient is φ = 30898560.

The previous prime is 122004419. The next prime is 122004451. The reversal of 122004420 is 24400221.

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 122004420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290971 + ... + 291389.

It is an arithmetic number, because the mean of its divisors is an integer number (3739680).

Almost surely, 2122004420 is an apocalyptic number.

122004420 is a gapful number since it is divisible by the number (10) 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 122004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179504640).

122004420 is an abundant number, since it is smaller than the sum of its proper divisors (237004860).

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

122004420 is a wasteful number, since it uses less digits than its factorization.

122004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 122004420 is about 11045.5610993738. The cubic root of 122004420 is about 495.9735558656.

Adding to 122004420 its reverse (24400221), we get a palindrome (146404641).

The spelling of 122004420 in words is "one hundred twenty-two million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 211 230 276 345 419 422 460 633 690 838 844 1055 1257 1266 1380 1676 2095 2110 2514 2532 3165 4190 4220 4853 5028 6285 6330 8380 9637 9706 12570 12660 14559 19274 19412 24265 25140 28911 29118 38548 48185 48530 57822 58236 72795 88409 96370 97060 115644 144555 145590 176818 192740 265227 289110 291180 353636 442045 530454 578220 884090 1060908 1326135 1768180 2033407 2652270 4066814 5304540 6100221 8133628 10167035 12200442 20334070 24400884 30501105 40668140 61002210 122004420