Search a number
-
+
121102120220 = 225298910322777
BaseRepresentation
bin111000011001000111…
…1111011010100011100
3102120120211000010012212
41300302033323110130
53441004120321340
6131344502415552
711515011015614
oct1606217732434
9376524003185
10121102120220
11473a4a98384
121b578a315b8
13b55c62b103
145c0b877a44
15323bb09a65
hex1c323fb51c

121102120220 has 96 divisors (see below), whose sum is σ = 268634620800. Its totient is φ = 45793972224.

The previous prime is 121102120189. The next prime is 121102120253. The reversal of 121102120220 is 22021201121.

It is a junction number, because it is equal to n+sod(n) for n = 121102120195 and 121102120204.

It is a congruent number.

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, 5305472 + ... + 5328248.

It is an arithmetic number, because the mean of its divisors is an integer number (2798277300).

Almost surely, 2121102120220 is an apocalyptic number.

121102120220 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 121102120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134317310400).

121102120220 is an abundant number, since it is smaller than the sum of its proper divisors (147532500580).

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

121102120220 is a wasteful number, since it uses less digits than its factorization.

121102120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23007 (or 23005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121102120220 its reverse (22021201121), we get a palindrome (143123321341).

The spelling of 121102120220 in words is "one hundred twenty-one billion, one hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 103 116 145 178 206 290 356 412 445 515 580 890 1030 1780 2060 2581 2987 5162 5974 9167 10324 11948 12905 14935 18334 22777 25810 29870 36668 45554 45835 51620 59740 91108 91670 113885 183340 227770 265843 455540 531686 660533 1063372 1321066 1329215 2027153 2346031 2642132 2658430 3302665 4054306 4692062 5316860 6605330 8108612 9384124 10135765 11730155 13210660 20271530 23460310 40543060 46920620 58787437 68034899 117574874 136069798 208796759 235149748 272139596 293937185 340174495 417593518 587874370 680348990 835187036 1043983795 1175748740 1360697980 2087967590 4175935180 6055106011 12110212022 24220424044 30275530055 60551060110 121102120220