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121110120120 = 23351191750091
BaseRepresentation
bin111000011001010111…
…0011100011010111000
3102120121101001120000110
41300302232130122320
53441013142320440
6131345350104320
711515136015133
oct1606256343270
9376541046013
10121110120120
11473a9561870
121b57b64b0a0
13b56119c492
145c0c95b21a
15323c68a080
hex1c32b9c6b8

121110120120 has 64 divisors (see below), whose sum is σ = 396360397440. Its totient is φ = 29360028800.

The previous prime is 121110120113. The next prime is 121110120133. The reversal of 121110120120 is 21021011121.

It is a super-2 number, since 2×1211101201202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121110120096 and 121110120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45873726 + ... + 45876365.

It is an arithmetic number, because the mean of its divisors is an integer number (6193131210).

Almost surely, 2121110120120 is an apocalyptic number.

121110120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110120120 is an abundant number, since it is smaller than the sum of its proper divisors (275250277320).

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

121110120120 is a wasteful number, since it uses less digits than its factorization.

121110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91750116 (or 91750112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121110120120 its reverse (21021011121), we get a palindrome (142131131241).

The spelling of 121110120120 in words is "one hundred twenty-one billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 91750091 183500182 275250273 367000364 458750455 550500546 734000728 917500910 1009251001 1101001092 1376251365 1835001820 2018502002 2202002184 2752502730 3027753003 3670003640 4037004004 5046255005 5505005460 6055506006 8074008008 10092510010 11010010920 12111012012 15138765015 20185020020 24222024024 30277530030 40370040040 60555060060 121110120120