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1221230020 = 2251729211587
BaseRepresentation
bin100100011001010…
…0111110111000100
310011002221220122111
41020302213313010
510000113330040
6321103110404
742156166243
oct11062476704
93132856574
101221230020
1157739720a
122a0ba2404
1316601871a
14b829895a
1572330dea
hex48ca7dc4

1221230020 has 96 divisors (see below), whose sum is σ = 2827198080. Its totient is φ = 441047040.

The previous prime is 1221229993. The next prime is 1221230047. The reversal of 1221230020 is 200321221.

It is an interprime number because it is at equal distance from previous prime (1221229993) and next prime (1221230047).

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, 2080167 + ... + 2080753.

It is an arithmetic number, because the mean of its divisors is an integer number (29449980).

Almost surely, 21221230020 is an apocalyptic number.

1221230020 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 1221230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413599040).

1221230020 is an abundant number, since it is smaller than the sum of its proper divisors (1605968060).

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

1221230020 is a wasteful number, since it uses less digits than its factorization.

1221230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1221230020 is about 34946.1016423864. The cubic root of 1221230020 is about 1068.8887114285. Note that the first 3 decimals are identical.

Adding to 1221230020 its reverse (200321221), we get a palindrome (1421551241).

The spelling of 1221230020 in words is "one billion, two hundred twenty-one million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 211 290 340 422 493 580 587 844 986 1055 1174 1972 2110 2348 2465 2935 3587 4220 4930 5870 6119 7174 9860 9979 11740 12238 14348 17023 17935 19958 24476 30595 34046 35870 39916 49895 61190 68092 71740 85115 99790 104023 122380 123857 170230 199580 208046 247714 289391 340460 416092 495428 520115 578782 619285 1040230 1157564 1238570 1446955 2080460 2105569 2477140 2893910 3591853 4211138 5787820 7183706 8422276 10527845 14367412 17959265 21055690 35918530 42111380 61061501 71837060 122123002 244246004 305307505 610615010 1221230020