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1212221920 = 25571383257
BaseRepresentation
bin100100001000001…
…0000100111100000
310010111000020212011
41020100100213200
54440312100140
6320142042304
742016500460
oct11020204740
93114006764
101212221920
115722a42a8
12299b79394
131641b34a0
14b6dd1ba0
1571651cea
hex484109e0

1212221920 has 96 divisors (see below), whose sum is σ = 3524810688. Its totient is φ = 383643648.

The previous prime is 1212221909. The next prime is 1212221929. The reversal of 1212221920 is 291222121.

It is a junction number, because it is equal to n+sod(n) for n = 1212221891 and 1212221900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212221929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27069 + ... + 56188.

It is an arithmetic number, because the mean of its divisors is an integer number (36716778).

Almost surely, 21212221920 is an apocalyptic number.

1212221920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1212221920 is an abundant number, since it is smaller than the sum of its proper divisors (2312588768).

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

1212221920 is a wasteful number, since it uses less digits than its factorization.

1212221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83292 (or 83284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1212221920 is about 34816.9774678963. The cubic root of 1212221920 is about 1066.2540921776.

The spelling of 1212221920 in words is "one billion, two hundred twelve million, two hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 83257 166514 333028 416285 582799 666056 832570 1082341 1165598 1332112 1665140 2164682 2331196 2664224 2913995 3330280 4329364 4662392 5411705 5827990 6660560 7576387 8658728 9324784 10823410 11655980 13321120 15152774 17317456 18649568 21646820 23311960 30305548 34634912 37881935 43293640 46623920 60611096 75763870 86587280 93247840 121222192 151527740 173174560 242444384 303055480 606110960 1212221920