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12122301120 = 263537341281
BaseRepresentation
bin10110100101000101…
…11010001011000000
31011021211020200221120
423102202322023000
5144311302113440
65322514552240
7606254600526
oct132242721300
934254220846
1012122301120
1151607a5286
122423898680
1311b25b5c57
1482dd76316
154ae37cdd0
hex2d28ba2c0

12122301120 has 112 divisors (see below), whose sum is σ = 39528646368. Its totient is φ = 3145236480.

The previous prime is 12122301119. The next prime is 12122301137. The reversal of 12122301120 is 2110322121.

It is a super-3 number, since 3×121223011203 (a number of 31 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 12122301120.

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, 135121 + ... + 206160.

Almost surely, 212122301120 is an apocalyptic number.

12122301120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122301120 is an abundant number, since it is smaller than the sum of its proper divisors (27406345248).

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

12122301120 is a wasteful number, since it uses less digits than its factorization.

12122301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341338 (or 341328 counting only the distinct ones).

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

Adding to 12122301120 its reverse (2110322121), we get a palindrome (14232623241).

The spelling of 12122301120 in words is "twelve billion, one hundred twenty-two million, three hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 341281 682562 1023843 1365124 1706405 2047686 2730248 3412810 4095372 5119215 5460496 6825620 8190744 10238430 10920992 12627397 13651240 16381488 20476860 21841984 25254794 27302480 32762976 37882191 40953720 50509588 54604960 63136985 65525952 75764382 81907440 101019176 109209920 126273970 151528764 163814880 189410955 202038352 252547940 303057528 327629760 378821910 404076704 505095880 606115056 757643820 808153408 1010191760 1212230112 1515287640 2020383520 2424460224 3030575280 4040767040 6061150560 12122301120