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120221131300320 = 25351714732981777
BaseRepresentation
bin11011010101011100101001…
…110100110101110111100000
3120202200000202100022222222110
4123111130221310311313200
5111224200334103102240
61103404454132035320
734215455464213551
oct3325345164656740
9522600670288873
10120221131300320
113534054a508076
12115977b1762b40
135210a5b61323b
142198a3b7a2328
15dd7362d10c80
hex6d5729d35de0

120221131300320 has 96 divisors (see below), whose sum is σ = 400972832070048. Its totient is φ = 30173146677248.

The previous prime is 120221131300313. The next prime is 120221131300331. The reversal of 120221131300320 is 23003131122021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1202211313003202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7366482729 + ... + 7366499048.

It is an arithmetic number, because the mean of its divisors is an integer number (4176800334063).

Almost surely, 2120221131300320 is an apocalyptic number.

120221131300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221131300320 is an abundant number, since it is smaller than the sum of its proper divisors (280751700769728).

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

120221131300320 is a wasteful number, since it uses less digits than its factorization.

120221131300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14732981812 (or 14732981804 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 120221131300320 its reverse (23003131122021), we get a palindrome (143224262422341).

The spelling of 120221131300320 in words is "one hundred twenty trillion, two hundred twenty-one billion, one hundred thirty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 14732981777 29465963554 44198945331 58931927108 73664908885 88397890662 117863854216 147329817770 176795781324 220994726655 235727708432 250460690209 294659635540 353591562648 441989453310 471455416864 500921380418 589319271080 707183125296 751382070627 883978906620 1001842760836 1178638542160 1252303451045 1414366250592 1502764141254 1767957813240 2003685521672 2357277084320 2504606902090 3005528282508 3535915626480 3756910353135 4007371043344 5009213804180 6011056565016 7071831252960 7513820706270 8014742086688 10018427608360 12022113130032 15027641412540 20036855216720 24044226260064 30055282825080 40073710433440 60110565650160 120221131300320