Search a number
-
+
120021111012120 = 233523615471303261
BaseRepresentation
bin11011010010100010010111…
…101011111111101100011000
3120201221220110120212120022020
4123102202113223333230120
5111212411213404341440
61103132534235054440
734165145005630353
oct3322422753775430
9521856416776266
10120021111012120
113527373824a06a
1211564a8b2a1420
1351c7c3303c716
14218d0a4b1d29a
15dd2057bd03d0
hex6d2897affb18

120021111012120 has 256 divisors, whose sum is σ = 382576000711680. Its totient is φ = 30057137510400.

The previous prime is 120021111012053. The next prime is 120021111012163. The reversal of 120021111012120 is 21210111120021.

It is a happy number.

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 120021111012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91441290 + ... + 92744550.

It is an arithmetic number, because the mean of its divisors is an integer number (1494437502780).

Almost surely, 2120021111012120 is an apocalyptic number.

120021111012120 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 120021111012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191288000355840).

120021111012120 is an abundant number, since it is smaller than the sum of its proper divisors (262554889699560).

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

120021111012120 is a wasteful number, since it uses less digits than its factorization.

120021111012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303906 (or 1303902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120021111012120 its reverse (21210111120021), we get a palindrome (141231222132141).

The spelling of 120021111012120 in words is "one hundred twenty trillion, twenty-one billion, one hundred eleven million, twelve thousand, one hundred twenty".