Search a number
-
+
120001230240 = 25351065723459
BaseRepresentation
bin110111111000010100…
…0010111010110100000
3102110202002111010001220
41233300220113112200
53431230303331430
6131043334455040
711445512425053
oct1576050272640
9373662433056
10120001230240
114698a625451
121b310204480
13b415528318
145b45586a9a
1531c514a110
hex1bf0a175a0

120001230240 has 96 divisors (see below), whose sum is σ = 378055460160. Its totient is φ = 31995961344.

The previous prime is 120001230233. The next prime is 120001230259. The reversal of 120001230240 is 42032100021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1200012302402 (a number of 23 digits) contains 22 as substring.

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

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, 5103631 + ... + 5127089.

It is an arithmetic number, because the mean of its divisors is an integer number (3938077710).

Almost surely, 2120001230240 is an apocalyptic number.

120001230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001230240 is an abundant number, since it is smaller than the sum of its proper divisors (258054229920).

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

120001230240 is a wasteful number, since it uses less digits than its factorization.

120001230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34134 (or 34126 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120001230240 its reverse (42032100021), we get a palindrome (162033330261).

The spelling of 120001230240 in words is "one hundred twenty billion, one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 10657 21314 23459 31971 42628 46918 53285 63942 70377 85256 93836 106570 117295 127884 140754 159855 170512 187672 213140 234590 255768 281508 319710 341024 351885 375344 426280 469180 511536 563016 639420 703770 750688 852560 938360 1023072 1126032 1278840 1407540 1705120 1876720 2252064 2557680 2815080 3753440 5115360 5630160 11260320 250002563 500005126 750007689 1000010252 1250012815 1500015378 2000020504 2500025630 3000030756 3750038445 4000041008 5000051260 6000061512 7500076890 8000082016 10000102520 12000123024 15000153780 20000205040 24000246048 30000307560 40000410080 60000615120 120001230240