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120022210011012 = 22350919650001639
BaseRepresentation
bin11011010010100011011001…
…001100010101111110000100
3120201222000022011211111100220
4123102203121030111332010
5111212420441230323022
61103133235254304340
734165214152153641
oct3322433114257604
9521860264744326
10120022210011012
1135274151640211
12115651373580b0
1351c807992c81a
14218d16aa7adc8
15dd20be41985c
hex6d28d9315f84

120022210011012 has 24 divisors (see below), whose sum is σ = 280602023419200. Its totient is φ = 39928803328416.

The previous prime is 120022210011001. The next prime is 120022210011019. The reversal of 120022210011012 is 210110012220021.

120022210011012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1200222100110122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120022210010982 and 120022210011000.

It is not an unprimeable number, because it can be changed into a prime (120022210011019) 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 7 ways as a sum of consecutive naturals, for example, 9824994712 + ... + 9825006927.

It is an arithmetic number, because the mean of its divisors is an integer number (11691750975800).

Almost surely, 2120022210011012 is an apocalyptic number.

120022210011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120022210011012 is an abundant number, since it is smaller than the sum of its proper divisors (160579813408188).

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

120022210011012 is a wasteful number, since it uses less digits than its factorization.

120022210011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650002155 (or 19650002153 counting only the distinct ones).

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

Adding to 120022210011012 its reverse (210110012220021), we get a palindrome (330132222231033).

The spelling of 120022210011012 in words is "one hundred twenty trillion, twenty-two billion, two hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 509 1018 1527 2036 3054 6108 19650001639 39300003278 58950004917 78600006556 117900009834 235800019668 10001850834251 20003701668502 30005552502753 40007403337004 60011105005506 120022210011012