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122132030101120 = 2751322676475223
BaseRepresentation
bin11011110001010000010100…
…010001010001011010000000
3121000102201010011112221201201
4123301100110101101122000
5112002002344201213440
61111430402521110544
734503514363060564
oct3361202421213200
9530381104487651
10122132030101120
1135a079a3020146
1211846009928454
13531c00231bc20
14222331687b6a4
15e1be0380319a
hex6f1414451680

122132030101120 has 128 divisors (see below), whose sum is σ = 314570008045440. Its totient is φ = 45075004575744.

The previous prime is 122132030101079. The next prime is 122132030101183. The reversal of 122132030101120 is 21101030231221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15623829 + ... + 22099051.

It is an arithmetic number, because the mean of its divisors is an integer number (2457578187855).

Almost surely, 2122132030101120 is an apocalyptic number.

122132030101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122132030101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157285004022720).

122132030101120 is an abundant number, since it is smaller than the sum of its proper divisors (192437977944320).

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

122132030101120 is a wasteful number, since it uses less digits than its factorization.

122132030101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477522 (or 6477510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122132030101120 its reverse (21101030231221), we get a palindrome (143233060332341).

The spelling of 122132030101120 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, thirty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 2267 4160 4534 8320 9068 11335 18136 22670 29471 36272 45340 58942 72544 90680 117884 145088 147355 181360 235768 290176 294710 362720 471536 589420 725440 943072 1178840 1450880 1886144 2357680 3772288 4715360 6475223 9430720 12950446 18861440 25900892 32376115 51801784 64752230 84177899 103603568 129504460 168355798 207207136 259008920 336711596 414414272 420889495 518017840 673423192 828828544 841778990 1036035680 1346846384 1683557980 2072071360 2693692768 3367115960 4144142720 5387385536 6734231920 10774771072 13468463840 14679330541 26936927680 29358661082 53873855360 58717322164 73396652705 117434644328 146793305410 190831297033 234869288656 293586610820 381662594066 469738577312 587173221640 763325188132 939477154624 954156485165 1174346443280 1526650376264 1878954309248 1908312970330 2348692886560 3053300752528 3816625940660 4697385773120 6106601505056 7633251881320 9394771546240 12213203010112 15266503762640 24426406020224 30533007525280 61066015050560 122132030101120