Search a number
-
+
120012211101020 = 22572312147186629
BaseRepresentation
bin11011010010011010000101…
…001101100001110101011100
3120201221001111100010020110012
4123102122011031201311130
5111212240002020213040
61103124503151102352
734164411316631600
oct3322320515416534
9521831440106405
10120012211101020
113526a990500137
12115632068119b8
1351c7145234534
14218c89cb1d500
15dd1bd66c4865
hex6d2685361d5c

120012211101020 has 216 divisors, whose sum is σ = 303144378405120. Its totient is φ = 39792190636800.

The previous prime is 120012211101017. The next prime is 120012211101023. The reversal of 120012211101020 is 20101112210021.

It is an interprime number because it is at equal distance from previous prime (120012211101017) and next prime (120012211101023).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120012211100986 and 120012211101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012211101023) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1385315066 + ... + 1385401694.

It is an arithmetic number, because the mean of its divisors is an integer number (1403446196320).

Almost surely, 2120012211101020 is an apocalyptic number.

120012211101020 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 120012211101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151572189202560).

120012211101020 is an abundant number, since it is smaller than the sum of its proper divisors (183132167304100).

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

120012211101020 is a wasteful number, since it uses less digits than its factorization.

120012211101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88185 (or 88145 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120012211101020 its reverse (20101112210021), we get a palindrome (140113323311041).

The spelling of 120012211101020 in words is "one hundred twenty trillion, twelve billion, two hundred eleven million, one hundred one thousand, twenty".