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121122221004 = 223247587121951
BaseRepresentation
bin111000011001101110…
…0100110101111001100
3102120122012211100022100
41300303130212233030
53441024242033004
6131350501315100
711515343614521
oct1606334465714
9376565740270
10121122221004
11474053773a4
121b583705a90
13b563848375
145c103cb148
15323d77a739
hex1c33726bcc

121122221004 has 72 divisors (see below), whose sum is σ = 313219565568. Its totient is φ = 39447410400.

The previous prime is 121122220963. The next prime is 121122221063. The reversal of 121122221004 is 400122221121.

121122221004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 932229 + ... + 1054179.

It is an arithmetic number, because the mean of its divisors is an integer number (4350271744).

Almost surely, 2121122221004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121122221004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156609782784).

121122221004 is an abundant number, since it is smaller than the sum of its proper divisors (192097344564).

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

121122221004 is a wasteful number, since it uses less digits than its factorization.

121122221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122595 (or 122590 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121122221004 its reverse (400122221121), we get a palindrome (521244442125).

The spelling of 121122221004 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 587 846 1174 1692 1761 2348 3522 5283 7044 10566 21132 27589 55178 82767 110356 121951 165534 243902 248301 331068 365853 487804 496602 731706 993204 1097559 1463412 2195118 4390236 5731697 11463394 17195091 22926788 34390182 51585273 68780364 71585237 103170546 143170474 206341092 214755711 286340948 429511422 644267133 859022844 1288534266 2577068532 3364506139 6729012278 10093518417 13458024556 20187036834 30280555251 40374073668 60561110502 121122221004