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121122120000021 = 37314119127187671
BaseRepresentation
bin11011100010100011110000…
…111011111110001000010101
3120212212011100210112020020020
4123202203300323332020111
5111333431100210000041
61105334422254455353
734340533021621530
oct3342436073761025
9525764323466206
10121122120000021
113565866a102658
1211702340b04559
1352779c7b80b4a
1421ca4b01d3a17
15e009e703a866
hex6e28f0efe215

121122120000021 has 128 divisors (see below), whose sum is σ = 196915677364224. Its totient is φ = 64763582400000.

The previous prime is 121122120000019. The next prime is 121122120000041. The reversal of 121122120000021 is 120000021221121.

It is not a de Polignac number, because 121122120000021 - 21 = 121122120000019 is a prime.

It is a super-3 number, since 3×1211221200000213 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122120000041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1381509016 + ... + 1381596686.

It is an arithmetic number, because the mean of its divisors is an integer number (1538403729408).

Almost surely, 2121122120000021 is an apocalyptic number.

It is an amenable number.

121122120000021 is a deficient number, since it is larger than the sum of its proper divisors (75793557364203).

121122120000021 is a wasteful number, since it uses less digits than its factorization.

121122120000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88215.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121122120000021 its reverse (120000021221121), we get a palindrome (241122141221142).

The spelling of 121122120000021 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 21 31 41 93 123 191 217 271 287 573 651 813 861 1271 1337 1897 3813 4011 5691 5921 7831 8401 8897 11111 17763 23493 25203 26691 33333 41447 51761 54817 58807 77777 87671 124341 155283 164451 176421 233331 242761 263013 344441 362327 613697 728283 1033323 1086981 1604591 1699327 1841091 2122201 2411087 2717801 3594511 4813773 5097981 6366603 7233261 8153403 10783533 11232137 14855407 16745161 19024607 23758841 25161577 33696411 44566221 50235483 57073821 65788231 71276523 75484731 111429841 117216127 166311887 197364693 334289523 351648381 460517617 498935661 519099991 686551601 736524071 780008887 974112481 1381552851 1557299973 2059654803 2209572213 2340026661 2922337443 3633699937 4537938631 4805861207 5155668497 6818787367 10901099811 13613815893 14417583621 15467005491 20456362101 21283099631 30197486911 31765570417 63849298893 90592460733 95296711251 140676097561 148981697417 186055483871 211382408377 422028292683 446945092251 558166451613 634147225131 984732682927 1302388387097 2954198048781 3907165161291 5767720000001 17303160000003 40374040000007 121122120000021