Search a number
-
+
121133120 = 2653112211
BaseRepresentation
bin1110011100001…
…01100001000000
322102221012101212
413032011201000
5222002224440
620004145252
73000420533
oct716054100
9272835355
10121133120
1162416119
1234698228
131c132904
1412132a1a
15a97b465
hex7385840

121133120 has 56 divisors (see below), whose sum is σ = 297777408. Its totient is φ = 46886400.

The previous prime is 121133101. The next prime is 121133123. The reversal of 121133120 is 21331121.

It is a junction number, because it is equal to n+sod(n) for n = 121133095 and 121133104.

It is not an unprimeable number, because it can be changed into a prime (121133123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3815 + ... + 16025.

Almost surely, 2121133120 is an apocalyptic number.

121133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148888704).

121133120 is an abundant number, since it is smaller than the sum of its proper divisors (176644288).

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

121133120 is a wasteful number, since it uses less digits than its factorization.

121133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 121133120 is about 11006.0492457557. The cubic root of 121133120 is about 494.7900616389.

Adding to 121133120 its reverse (21331121), we get a palindrome (142464241).

The spelling of 121133120 in words is "one hundred twenty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 12211 24422 48844 61055 97688 122110 195376 244220 378541 390752 488440 757082 781504 976880 1514164 1892705 1953760 3028328 3785410 3907520 6056656 7570820 12113312 15141640 24226624 30283280 60566560 121133120