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121242120 = 23353672753
BaseRepresentation
bin1110011101000…
…00001000001000
322110010201220220
413032200020020
5222014221440
620010350040
73001353366
oct716401010
9273121826
10121242120
116248aaaa
123472b320
131c1703cc
1412160636
15a99d8d0
hex73a0208

121242120 has 64 divisors (see below), whose sum is σ = 364849920. Its totient is φ = 32231424.

The previous prime is 121242101. The next prime is 121242137. The reversal of 121242120 is 21242121.

It is a Cunningham number, because it is equal to 110112-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121242120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42664 + ... + 45416.

It is an arithmetic number, because the mean of its divisors is an integer number (5700780).

Almost surely, 2121242120 is an apocalyptic number.

121242120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121242120 is an abundant number, since it is smaller than the sum of its proper divisors (243607800).

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

121242120 is a wasteful number, since it uses less digits than its factorization.

121242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 121242120 is about 11010.9999545909. Note that the first 4 decimals coincide. The cubic root of 121242120 is about 494.9384271949.

121242120 divided by its sum of digits (15) gives a palindrome (8082808).

Adding to 121242120 its reverse (21242121), we get a palindrome (142484241).

Subtracting from 121242120 its reverse (21242121), we obtain a palindrome (99999999).

The spelling of 121242120 in words is "one hundred twenty-one million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 734 1101 1468 1835 2202 2753 2936 3670 4404 5505 5506 7340 8259 8808 11010 11012 13765 14680 16518 22020 22024 27530 33036 41295 44040 55060 66072 82590 110120 165180 330360 1010351 2020702 3031053 4041404 5051755 6062106 8082808 10103510 12124212 15155265 20207020 24248424 30310530 40414040 60621060 121242120