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12202101120 = 273511577751
BaseRepresentation
bin10110101110100110…
…10100100110000000
31011111101101221222010
423113103110212000
5144442214213440
65334445212520
7611244101556
oct132723244600
934441357863
1012202101120
1151a184a1a0
122446561140
1311c5ca62a1
1483a7c9bd6
154b6392580
hex2d74d4980

12202101120 has 128 divisors (see below), whose sum is σ = 42430106880. Its totient is φ = 2958080000.

The previous prime is 12202101113. The next prime is 12202101127. The reversal of 12202101120 is 2110120221.

It is an interprime number because it is at equal distance from previous prime (12202101113) and next prime (12202101127).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12202101096 and 12202101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202101127) 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, 267756 + ... + 309995.

It is an arithmetic number, because the mean of its divisors is an integer number (331485210).

Almost surely, 212202101120 is an apocalyptic number.

12202101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202101120 is an abundant number, since it is smaller than the sum of its proper divisors (30228005760).

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

12202101120 is a wasteful number, since it uses less digits than its factorization.

12202101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577784 (or 577772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12202101120 its reverse (2110120221), we get a palindrome (14312221341).

The spelling of 12202101120 in words is "twelve billion, two hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 577751 1155502 1733253 2311004 2888755 3466506 4622008 5777510 6355261 6933012 8666265 9244016 11555020 12710522 13866024 17332530 18488032 19065783 23110040 25421044 27732048 31776305 34665060 36976064 38131566 46220080 50842088 55464096 63552610 69330120 73952128 76263132 92440160 95328915 101684176 110928192 127105220 138660240 152526264 184880320 190657830 203368352 221856384 254210440 277320480 305052528 369760640 381315660 406736704 508420880 554640960 610105056 762631320 813473408 1016841760 1109281920 1220210112 1525262640 2033683520 2440420224 3050525280 4067367040 6101050560 12202101120