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122143002000012 = 223274711391262371
BaseRepresentation
bin11011110001011010100010…
…001111101111101010001100
3121000110202102211010011111100
4123301122202033233222030
5112002142332003000022
61111435415343023100
734504353311504160
oct3361324217575214
9530422384104440
10122143002000012
1135a11613405184
121184817029aa90
1353200604879a6
142223a77b14ca0
15e1c346b911ac
hex6f16a23efa8c

122143002000012 has 144 divisors (see below), whose sum is σ = 363554245297152. Its totient is φ = 33853228577280.

The previous prime is 122143001999969. The next prime is 122143002000031. The reversal of 122143002000012 is 210000200341221.

It is a happy number.

122143002000012 is a `hidden beast` number, since 1 + 2 + 21 + 430 + 0 + 200 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44292814 + ... + 46969557.

It is an arithmetic number, because the mean of its divisors is an integer number (2524682259008).

Almost surely, 2122143002000012 is an apocalyptic number.

122143002000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122143002000012 is an abundant number, since it is smaller than the sum of its proper divisors (241411243297140).

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

122143002000012 is a wasteful number, since it uses less digits than its factorization.

122143002000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91262548 (or 91262543 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122143002000012 its reverse (210000200341221), we get a palindrome (332143202341233).

The spelling of 122143002000012 in words is "one hundred twenty-two trillion, one hundred forty-three billion, two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 113 126 141 188 226 252 282 329 339 423 452 564 658 678 791 846 987 1017 1316 1356 1582 1692 1974 2034 2373 2961 3164 3948 4068 4746 5311 5922 7119 9492 10622 11844 14238 15933 21244 28476 31866 37177 47799 63732 74354 95598 111531 148708 191196 223062 334593 446124 669186 1338372 91262371 182524742 273787113 365049484 547574226 638836597 821361339 1095148452 1277673194 1642722678 1916509791 2555346388 3285445356 3833019582 4289331437 5749529373 7666039164 8578662874 10312647923 11499058746 12867994311 17157325748 20625295846 22998117492 25735988622 30025320059 30937943769 38603982933 41250591692 51471977244 60050640118 61875887538 72188535461 77207965866 90075960177 92813831307 120101280236 123751775076 144377070922 154415931732 180151920354 185627662614 216565606383 270227880531 288754141844 360303840708 371255325228 433131212766 484694452381 540455761062 649696819149 866262425532 969388904762 1080911522124 1299393638298 1454083357143 1938777809524 2598787276596 2908166714286 3392861166667 4362250071429 5816333428572 6785722333334 8724500142858 10178583500001 13571444666668 17449000285716 20357167000002 30535750500003 40714334000004 61071501000006 122143002000012