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120022211210220 = 2233511234157211333
BaseRepresentation
bin11011010010100011011001…
…010000111010101111101100
3120201222000022021002102101000
4123102203121100322233230
5111212420442032211340
61103133235340120300
734165214165310114
oct3322433120725754
9521860267072330
10120022211210220
113527415228a1a0
1211565137836090
1351c8079c5c607
14218d16acb0044
15dd20be5a4d30
hex6d28d943abec

120022211210220 has 384 divisors, whose sum is σ = 425163161364480. Its totient is φ = 27824410690560.

The previous prime is 120022211210159. The next prime is 120022211210227. The reversal of 120022211210220 is 22012112220021.

It is a happy number.

120022211210220 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 22 + 211 + 210 + 220 = 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 = 120022211210193 and 120022211210202.

It is not an unprimeable number, because it can be changed into a prime (120022211210227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 567823674 + ... + 568035006.

It is an arithmetic number, because the mean of its divisors is an integer number (1107195732720).

Almost surely, 2120022211210220 is an apocalyptic number.

120022211210220 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 120022211210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212581580682240).

120022211210220 is an abundant number, since it is smaller than the sum of its proper divisors (305140950154260).

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

120022211210220 is a wasteful number, since it uses less digits than its factorization.

120022211210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215542 (or 215534 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120022211210220 its reverse (22012112220021), we get a palindrome (142034323430241).

The spelling of 120022211210220 in words is "one hundred twenty trillion, twenty-two billion, two hundred eleven million, two hundred ten thousand, two hundred twenty".