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121143120 = 2435772109
BaseRepresentation
bin1110011100001…
…11111101010000
322102221201010020
413032013331100
5222003034440
620004303440
73000461640
oct716077520
9272851106
10121143120
116242268a
12346a1b80
131c137327
1412136520
15a97e3d0
hex7387f50

121143120 has 80 divisors (see below), whose sum is σ = 429198720. Its totient is φ = 27689472.

The previous prime is 121143101. The next prime is 121143149. The reversal of 121143120 is 21341121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1211431203 (a number of 25 digits) contains 333 as substring.

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 121143120.

It is a congruent number.

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, 34375 + ... + 37734.

It is an arithmetic number, because the mean of its divisors is an integer number (5364984).

Almost surely, 2121143120 is an apocalyptic number.

121143120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121143120 is an abundant number, since it is smaller than the sum of its proper divisors (308055600).

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

121143120 is a wasteful number, since it uses less digits than its factorization.

121143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72132 (or 72126 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 121143120 is about 11006.5035320032. The cubic root of 121143120 is about 494.8036768650.

Adding to 121143120 its reverse (21341121), we get a palindrome (142484241).

The spelling of 121143120 in words is "one hundred twenty-one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 72109 144218 216327 288436 360545 432654 504763 576872 721090 865308 1009526 1081635 1153744 1442180 1514289 1730616 2019052 2163270 2523815 2884360 3028578 3461232 4038104 4326540 5047630 5768720 6057156 7571445 8076208 8653080 10095260 12114312 15142890 17306160 20190520 24228624 30285780 40381040 60571560 121143120