Search a number
-
+
120212101220100 = 22352400707004067
BaseRepresentation
bin11011010101010100001111…
…100101110100011100000100
3120202122011110000122101122220
4123111110033211310130010
5111224023340403020400
61103400402114052340
734215015634621221
oct3325241745643404
9522564400571586
10120212101220100
113533773624115a
1211595ab157a0b0
13520cc4c8605c6
14219842239a948
15dd6ed51917a0
hex6d550f974704

120212101220100 has 36 divisors (see below), whose sum is σ = 347813679531024. Its totient is φ = 32056560325280.

The previous prime is 120212101220093. The next prime is 120212101220221. The reversal of 120212101220100 is 1022101212021.

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 120212101220100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200353501734 + ... + 200353502333.

It is an arithmetic number, because the mean of its divisors is an integer number (9661491098084).

Almost surely, 2120212101220100 is an apocalyptic number.

120212101220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212101220100 is an abundant number, since it is smaller than the sum of its proper divisors (227601578310924).

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

120212101220100 is a wasteful number, since it uses less digits than its factorization.

120212101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400707004084 (or 400707004077 counting only the distinct ones).

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

Adding to 120212101220100 its reverse (1022101212021), we get a palindrome (121234202432121).

The spelling of 120212101220100 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 400707004067 801414008134 1202121012201 1602828016268 2003535020335 2404242024402 4007070040670 4808484048804 6010605061005 8014140081340 10017675101675 12021210122010 20035350203350 24042420244020 30053025305025 40070700406700 60106050610050 120212101220100