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1223220120 = 233547732971
BaseRepresentation
bin100100011101000…
…1101101110011000
310011020201000112220
41020322031232120
510001121020440
6321213504040
742212125263
oct11072155630
93136630486
101223220120
11578526421
122a17a2020
131665644b5
14b8655cda
15725c58d0
hex48e8db98

1223220120 has 128 divisors (see below), whose sum is σ = 3800355840. Its totient is φ = 314772480.

The previous prime is 1223220107. The next prime is 1223220151. The reversal of 1223220120 is 210223221.

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 1223220120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410235 + ... + 413205.

It is an arithmetic number, because the mean of its divisors is an integer number (29690280).

Almost surely, 21223220120 is an apocalyptic number.

1223220120 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 1223220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900177920).

1223220120 is an abundant number, since it is smaller than the sum of its proper divisors (2577135720).

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

1223220120 is a wasteful number, since it uses less digits than its factorization.

1223220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

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

The square root of 1223220120 is about 34974.5639000689. The cubic root of 1223220120 is about 1069.4690118774.

Adding to 1223220120 its reverse (210223221), we get a palindrome (1433443341).

The spelling of 1223220120 in words is "one billion, two hundred twenty-three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 73 94 120 141 146 188 219 235 282 292 365 376 438 470 564 584 705 730 876 940 1095 1128 1410 1460 1752 1880 2190 2820 2920 2971 3431 4380 5640 5942 6862 8760 8913 10293 11884 13724 14855 17155 17826 20586 23768 27448 29710 34310 35652 41172 44565 51465 59420 68620 71304 82344 89130 102930 118840 137240 139637 178260 205860 216883 279274 356520 411720 418911 433766 558548 650649 698185 837822 867532 1084415 1117096 1301298 1396370 1675644 1735064 2094555 2168830 2602596 2792740 3253245 3351288 4189110 4337660 5205192 5585480 6506490 8378220 8675320 10193501 13012980 16756440 20387002 26025960 30580503 40774004 50967505 61161006 81548008 101935010 122322012 152902515 203870020 244644024 305805030 407740040 611610060 1223220120