Search a number
-
+
120120212012100 = 223522811424913547
BaseRepresentation
bin11011010011111110101010…
…100100010011110001000100
3120202022101021002212222100220
4123103332222210103301010
5111221022143233341400
61103250244045304340
734205253555343506
oct3323765244236104
9522271232788326
10120120212012100
1135301772176143
1211580127b650b0
135204397515991
142193bc6603d76
15dd49080397a0
hex6d3faa913c44

120120212012100 has 72 divisors (see below), whose sum is σ = 348784638625248. Its totient is φ = 31918063430400.

The previous prime is 120120212012093. The next prime is 120120212012113. The reversal of 120120212012100 is 1210212021021.

120120212012100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 120120212012100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712372474 + ... + 712541073.

Almost surely, 2120120212012100 is an apocalyptic number.

120120212012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120212012100 is an abundant number, since it is smaller than the sum of its proper divisors (228664426613148).

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

120120212012100 is a wasteful number, since it uses less digits than its factorization.

120120212012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424913845 (or 1424913838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120120212012100 its reverse (1210212021021), we get a palindrome (121330424033121).

The spelling of 120120212012100 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twelve million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 281 300 562 843 1124 1405 1686 2810 3372 4215 5620 7025 8430 14050 16860 21075 28100 42150 84300 1424913547 2849827094 4274740641 5699654188 7124567735 8549481282 14249135470 17098962564 21373703205 28498270940 35622838675 42747406410 71245677350 85494812820 106868516025 142491354700 213737032050 400400706707 427474064100 800801413414 1201202120121 1601602826828 2002003533535 2402404240242 4004007067070 4804808480484 6006010600605 8008014134140 10010017667675 12012021201210 20020035335350 24024042402420 30030053003025 40040070670700 60060106006050 120120212012100