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121114520540 = 225133728794373
BaseRepresentation
bin111000011001011111…
…1001110101111011100
3102120121200100010020222
41300302333032233130
53441020304124130
6131350024300512
711515221303266
oct1606277165734
9376550303228
10121114520540
1147400a97982
121b581011738
13b562080390
145c0d384b36
15323cc58ce5
hex1c32fcebdc

121114520540 has 96 divisors (see below), whose sum is σ = 281470049280. Its totient is φ = 43485520896.

The previous prime is 121114520539. The next prime is 121114520543. The reversal of 121114520540 is 45025411121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121114520543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27693794 + ... + 27698166.

It is an arithmetic number, because the mean of its divisors is an integer number (2931979680).

Almost surely, 2121114520540 is an apocalyptic number.

121114520540 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 121114520540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140735024640).

121114520540 is an abundant number, since it is smaller than the sum of its proper divisors (160355528740).

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

121114520540 is a wasteful number, since it uses less digits than its factorization.

121114520540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7311 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 121114520540 its reverse (45025411121), we get a palindrome (166139931661).

The spelling of 121114520540 in words is "one hundred twenty-one billion, one hundred fourteen million, five hundred twenty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 2879 4373 4810 5758 8746 9620 11516 14395 17492 21865 28790 37427 43730 56849 57580 74854 87460 106523 113698 149708 161801 187135 213046 227396 284245 323602 374270 426092 532615 568490 647204 748540 809005 1065230 1136980 1384799 1618010 2103413 2130460 2769598 3236020 4206826 5539196 6923995 8413652 10517065 12589867 13847990 21034130 25179734 27695980 42068260 50359468 62949335 125898670 163668271 251797340 327336542 465825079 654673084 818341355 931650158 1636682710 1863300316 2329125395 3273365420 4658250790 6055726027 9316501580 12111452054 24222904108 30278630135 60557260270 121114520540