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1200000000120 = 2335101354127961
BaseRepresentation
bin10001011101100101100…
…100101110000001111000
311020201102001201010010220
4101131211210232001320
5124130100000000440
62315134500340040
7152461055463255
oct21354544560170
94221361633126
101200000000120
11422a0a797199
121746996a4620
138920c5b7a8c
144211a52842c
1521334bda8d0
hex1176592e078

1200000000120 has 128 divisors (see below), whose sum is σ = 3636800354880. Its totient is φ = 316730880000.

The previous prime is 1200000000119. The next prime is 1200000000131. The reversal of 1200000000120 is 210000000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1200000000099 and 1200000000108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42902940 + ... + 42930900.

Almost surely, 21200000000120 is an apocalyptic number.

1200000000120 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 1200000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818400177440).

1200000000120 is an abundant number, since it is smaller than the sum of its proper divisors (2436800354760).

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

1200000000120 is a wasteful number, since it uses less digits than its factorization.

1200000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31617 (or 31613 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1200000000120 its reverse (210000000021), we get a palindrome (1410000000141).

Subtracting from 1200000000120 its reverse (210000000021), we obtain a palindrome (990000000099).

It can be divided in two parts, 12000000001 and 20, that added together give a palindrome (12000000021).

The spelling of 1200000000120 in words is "one trillion, two hundred billion, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 3541 4040 6060 7082 10623 12120 14164 17705 21246 27961 28328 35410 42492 53115 55922 70820 83883 84984 106230 111844 139805 141640 167766 212460 223688 279610 335532 357641 419415 424920 559220 671064 715282 838830 1072923 1118440 1430564 1677660 1788205 2145846 2824061 2861128 3355320 3576410 4291692 5364615 5648122 7152820 8472183 8583384 10729230 11296244 14120305 14305640 16944366 21458460 22592488 28240610 33888732 42360915 42916920 56481220 67777464 84721830 99009901 112962440 169443660 198019802 297029703 338887320 396039604 495049505 594059406 792079208 990099010 1188118812 1485148515 1980198020 2376237624 2970297030 3960396040 5940594060 10000000001 11881188120 20000000002 30000000003 40000000004 50000000005 60000000006 80000000008 100000000010 120000000012 150000000015 200000000020 240000000024 300000000030 400000000040 600000000060 1200000000120