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30123132223200 = 25352103121857331
BaseRepresentation
bin1101101100101100101101…
…00110000111111011100000
310221122202001212200210110020
412312112112212013323200
512422014133322120300
6144022213110033440
76226216204124532
oct666262646077340
9127582055623406
1030123132223200
11966416a916895
123466094048880
1313a67a3524513
14761d786b7852
15373889c408a0
hex1b6596987ee0

30123132223200 has 144 divisors (see below), whose sum is σ = 99002745668736. Its totient is φ = 7954846502400.

The previous prime is 30123132223183. The next prime is 30123132223229. The reversal of 30123132223200 is 232223132103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60681466 + ... + 61175865.

It is an arithmetic number, because the mean of its divisors is an integer number (687519067144).

Almost surely, 230123132223200 is an apocalyptic number.

30123132223200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30123132223200 is an abundant number, since it is smaller than the sum of its proper divisors (68879613445536).

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

30123132223200 is a wasteful number, since it uses less digits than its factorization.

30123132223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121857457 (or 121857444 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 30123132223200 its reverse (232223132103), we get a palindrome (30355355355303).

The spelling of 30123132223200 in words is "thirty trillion, one hundred twenty-three billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 103 120 150 160 200 206 240 300 309 400 412 480 515 600 618 800 824 1030 1200 1236 1545 1648 2060 2400 2472 2575 3090 3296 4120 4944 5150 6180 7725 8240 9888 10300 12360 15450 16480 20600 24720 30900 41200 49440 61800 82400 123600 247200 121857331 243714662 365571993 487429324 609286655 731143986 974858648 1218573310 1462287972 1827859965 1949717296 2437146620 2924575944 3046433275 3655719930 3899434592 4874293240 5849151888 6092866550 7311439860 9139299825 9748586480 11698303776 12185733100 12551305093 14622879720 18278599650 19497172960 24371466200 25102610186 29245759440 36557199300 37653915279 48742932400 50205220372 58491518880 62756525465 73114398600 75307830558 97485864800 100410440744 125513050930 146228797200 150615661116 188269576395 200820881488 251026101860 292457594400 301231322232 313782627325 376539152790 401641762976 502052203720 602462644464 627565254650 753078305580 941347881975 1004104407440 1204925288928 1255130509300 1506156611160 1882695763950 2008208814880 2510261018600 3012313222320 3765391527900 5020522037200 6024626444640 7530783055800 10041044074400 15061566111600 30123132223200