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120290842920 = 23357018631657
BaseRepresentation
bin111000000000111100…
…1001001100100101000
3102111111021102221222110
41300001321021210220
53432323423433140
6131132202122320
711455630202643
oct1600171114450
9374437387873
10120290842920
1147019054776
121b3911b03a0
13b46052a181
145b71c14a5a
1531e07a6380
hex1c01e49928

120290842920 has 128 divisors (see below), whose sum is σ = 362024432640. Its totient is φ = 31975372800.

The previous prime is 120290842913. The next prime is 120290842979. The reversal of 120290842920 is 29248092021.

120290842920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1202908429202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72594732 + ... + 72596388.

It is an arithmetic number, because the mean of its divisors is an integer number (2828315880).

Almost surely, 2120290842920 is an apocalyptic number.

120290842920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120290842920 is an abundant number, since it is smaller than the sum of its proper divisors (241733589720).

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

120290842920 is a wasteful number, since it uses less digits than its factorization.

120290842920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 120290842920 in words is "one hundred twenty billion, two hundred ninety million, eight hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 701 863 1402 1657 1726 2103 2589 2804 3314 3452 3505 4206 4315 4971 5178 5608 6628 6904 7010 8285 8412 8630 9942 10356 10515 12945 13256 14020 16570 16824 17260 19884 20712 21030 24855 25890 28040 33140 34520 39768 42060 49710 51780 66280 84120 99420 103560 198840 604963 1161557 1209926 1429991 1814889 2323114 2419852 2859982 3024815 3484671 3629778 4289973 4646228 4839704 5719964 5807785 6049630 6969342 7149955 7259556 8579946 9074445 9292456 11439928 11615570 12099260 13938684 14299910 14519112 17159892 17423355 18148890 21449865 23231140 24198520 27877368 28599820 34319784 34846710 36297780 42899730 46462280 57199640 69693420 72595560 85799460 139386840 171598920 1002423691 2004847382 3007271073 4009694764 5012118455 6014542146 8019389528 10024236910 12029084292 15036355365 20048473820 24058168584 30072710730 40096947640 60145421460 120290842920