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120022011022032 = 243272192706133083
BaseRepresentation
bin11011010010100011001101…
…010101010000101011010000
3120201221222210022101210210200
4123102203031111100223100
5111212420034310201112
61103133203425255200
734165206214610100
oct3322431525205320
9521858708353720
10120022011022032
113527405a288909
12115650a0794500
1351c804763a772
14218d14c47d200
15dd20abc0ecdc
hex6d28cd550ad0

120022011022032 has 360 divisors, whose sum is σ = 411327550539360. Its totient is φ = 32484978408960.

The previous prime is 120022011022027. The next prime is 120022011022033. The reversal of 120022011022032 is 230220110220021.

120022011022032 is a `hidden beast` number, since 1 + 200 + 2 + 201 + 10 + 220 + 32 = 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 = 120022011021996 and 120022011022014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120022011022033) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3627889363 + ... + 3627922445.

It is an arithmetic number, because the mean of its divisors is an integer number (1142576529276).

Almost surely, 2120022011022032 is an apocalyptic number.

120022011022032 is a gapful number since it is divisible by the number (12) 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 120022011022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205663775269680).

120022011022032 is an abundant number, since it is smaller than the sum of its proper divisors (291305539517328).

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

120022011022032 is a wasteful number, since it uses less digits than its factorization.

120022011022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60191 (or 60175 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120022011022032 its reverse (230220110220021), we get a palindrome (350242121242053).

The spelling of 120022011022032 in words is "one hundred twenty trillion, twenty-two billion, eleven million, twenty-two thousand, thirty-two".