Search a number
-
+
120210121212120 = 23355421170917189
BaseRepresentation
bin11011010101010010011001…
…100100101100000011011000
3120202121222100000220120100000
4123111102121210230003120
5111224010312012241440
61103355433423413000
734214615603053212
oct3325223144540330
9522558300816300
10120210121212120
113533690a609925
121159563a454160
13520c9c5595b54
1421982b54275b2
15dd6e1b42c730
hex6d549992c0d8

120210121212120 has 384 divisors, whose sum is σ = 406376261928000. Its totient is φ = 31959317698560.

The previous prime is 120210121212113. The next prime is 120210121212161. The reversal of 120210121212120 is 21212121012021.

120210121212120 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 121 + 212 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120210121212093 and 120210121212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6993424486 + ... + 6993441674.

Almost surely, 2120210121212120 is an apocalyptic number.

120210121212120 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 120210121212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203188130964000).

120210121212120 is an abundant number, since it is smaller than the sum of its proper divisors (286166140715880).

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

120210121212120 is a wasteful number, since it uses less digits than its factorization.

120210121212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19345 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120210121212120 its reverse (21212121012021), we get a palindrome (141422242224141).

The spelling of 120210121212120 in words is "one hundred twenty trillion, two hundred ten billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".