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121110122221020 = 22335613365869501
BaseRepresentation
bin11011100010011000100101…
…110100000100110111011100
3120212211000101122120220112000
4123202120211310010313130
5111333232012242033040
61105325115544442300
734336626505315152
oct3342304564046734
9525730348526460
10121110122221020
1135653572728719
12116bbb52a79390
13527683531622a
1421c9a929d33d2
15e00543aa8130
hex6e2625d04ddc

121110122221020 has 96 divisors (see below), whose sum is σ = 377401708703040. Its totient is φ = 32243347296000.

The previous prime is 121110122221013. The next prime is 121110122221037. The reversal of 121110122221020 is 20122221011121.

121110122221020 is a `hidden beast` number, since 1 + 211 + 1 + 0 + 1 + 222 + 210 + 20 = 666.

121110122221020 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 a junction number, because it is equal to n+sod(n) for n = 121110122220984 and 121110122221002.

It is a congruent number.

It is an unprimeable number.

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, 182603731 + ... + 183265770.

It is an arithmetic number, because the mean of its divisors is an integer number (3931267798990).

Almost surely, 2121110122221020 is an apocalyptic number.

121110122221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110122221020 is an abundant number, since it is smaller than the sum of its proper divisors (256291586482020).

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

121110122221020 is a wasteful number, since it uses less digits than its factorization.

121110122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365870132 (or 365870124 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121110122221020 its reverse (20122221011121), we get a palindrome (141232343232141).

The spelling of 121110122221020 in words is "one hundred twenty-one trillion, one hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 613 1226 1839 2452 3065 3678 5517 6130 7356 9195 11034 12260 16551 18390 22068 27585 33102 36780 55170 66204 82755 110340 165510 331020 365869501 731739002 1097608503 1463478004 1829347505 2195217006 3292825509 3658695010 4390434012 5488042515 6585651018 7317390020 9878476527 10976085030 13171302036 16464127545 19756953054 21952170060 32928255090 39513906108 49392382635 65856510180 98784765270 197569530540 224278004113 448556008226 672834012339 897112016452 1121390020565 1345668024678 2018502037017 2242780041130 2691336049356 3364170061695 4037004074034 4485560082260 6055506111051 6728340123390 8074008148068 10092510185085 12111012222102 13456680246780 20185020370170 24222024444204 30277530555255 40370040740340 60555061110510 121110122221020