Search a number
-
+
120121212000 = 2535310010101
BaseRepresentation
bin110111111011111001…
…0000011110001100000
3102111001110020211002210
41233313302003301200
53432002012241000
6131103302242120
711451500312106
oct1576762036140
9374043224083
10120121212000
1146a41324529
121b344426340
13b434346b4a
145b57499c76
1531d094a350
hex1bf7c83c60

120121212000 has 96 divisors (see below), whose sum is σ = 393517129824. Its totient is φ = 32032320000.

The previous prime is 120121211981. The next prime is 120121212041. The reversal of 120121212000 is 212121021.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 4993051 + ... + 5017050.

It is an arithmetic number, because the mean of its divisors is an integer number (4099136769).

Almost surely, 2120121212000 is an apocalyptic number.

120121212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121212000 is an abundant number, since it is smaller than the sum of its proper divisors (273395917824).

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

120121212000 is a wasteful number, since it uses less digits than its factorization.

120121212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010129 (or 10010111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120121212000 its reverse (212121021), we get a palindrome (120333333021).

The spelling of 120121212000 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 10010101 20020202 30030303 40040404 50050505 60060606 80080808 100101010 120121212 150151515 160161616 200202020 240242424 250252525 300303030 320323232 400404040 480484848 500505050 600606060 750757575 800808080 960969696 1001010100 1201212120 1251262625 1501515150 1601616160 2002020200 2402424240 2502525250 3003030300 3753787875 4004040400 4804848480 5005050500 6006060600 7507575750 8008080800 10010101000 12012121200 15015151500 20020202000 24024242400 30030303000 40040404000 60060606000 120121212000