Search a number
-
+
121221112220120 = 23511225045684343
BaseRepresentation
bin11011100011111111111101…
…010101010100100111011000
3120220012121212201212001100102
4123203333331111110213120
5111342041314212020440
61105452113221354532
734350636110614313
oct3343777525244730
9526177781761312
10121221112220120
1135696648690800
1211719569268a48
13528414295b203
1421d11c147d97a
15e0338ca58b15
hex6e3ffd5549d8

121221112220120 has 48 divisors (see below), whose sum is σ = 299796841597680. Its totient is φ = 44080404441920.

The previous prime is 121221112220113. The next prime is 121221112220191. The reversal of 121221112220120 is 21022211122121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121221112220092 and 121221112220101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12522837332 + ... + 12522847011.

It is an arithmetic number, because the mean of its divisors is an integer number (6245767533285).

Almost surely, 2121221112220120 is an apocalyptic number.

121221112220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221112220120 is an abundant number, since it is smaller than the sum of its proper divisors (178575729377560).

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

121221112220120 is a wasteful number, since it uses less digits than its factorization.

121221112220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25045684376 (or 25045684361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 121221112220120 its reverse (21022211122121), we get a palindrome (142243323342241).

The spelling of 121221112220120 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 25045684343 50091368686 100182737372 125228421715 200365474744 250456843430 275502527773 500913686860 551005055546 1001827373720 1102010111092 1377512638865 2204020222184 2755025277730 3030527805503 5510050555460 6061055611006 11020101110920 12122111222012 15152639027515 24244222444024 30305278055030 60610556110060 121221112220120