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122942660640 = 2535277924659
BaseRepresentation
bin111001001111111110…
…1000010000000100000
3102202100002022021000120
41302133331002000200
54003241310120030
6132251251520240
711611430241642
oct1623775020040
9382302267016
10122942660640
1148159a21668
121b9b12b9080
13b793a43997
145d440a4892
1532e84c0010
hex1c9ff42020

122942660640 has 96 divisors (see below), whose sum is σ = 388667885760. Its totient is φ = 32666317824.

The previous prime is 122942660627. The next prime is 122942660653. The reversal of 122942660640 is 46066249221.

It is an interprime number because it is at equal distance from previous prime (122942660627) and next prime (122942660653).

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

It is a super-2 number, since 2×1229426606402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122942660592 and 122942660601.

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, 329370 + ... + 595289.

It is an arithmetic number, because the mean of its divisors is an integer number (4048623810).

Almost surely, 2122942660640 is an apocalyptic number.

122942660640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122942660640 is an abundant number, since it is smaller than the sum of its proper divisors (265725225120).

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

122942660640 is a wasteful number, since it uses less digits than its factorization.

122942660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924954 (or 924946 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 122942660640 in words is "one hundred twenty-two billion, nine hundred forty-two million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5540 6648 8310 8864 11080 13296 16620 22160 26592 33240 44320 66480 132960 924659 1849318 2773977 3698636 4623295 5547954 7397272 9246590 11095908 13869885 14794544 18493180 22191816 27739770 29589088 36986360 44383632 55479540 73972720 88767264 110959080 147945440 221918160 256130543 443836320 512261086 768391629 1024522172 1280652715 1536783258 2049044344 2561305430 3073566516 3841958145 4098088688 5122610860 6147133032 7683916290 8196177376 10245221720 12294266064 15367832580 20490443440 24588532128 30735665160 40980886880 61471330320 122942660640