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120021212012220 = 223251929246390127
BaseRepresentation
bin11011010010100010011101…
…101101010001111010111100
3120201221220201121220220101200
4123102202131231101322330
5111212411420233342340
61103132552243535500
734165150343256321
oct3322423555217274
9521856647826350
10120021212012220
113527378a263a22
1211564ab908a590
1351c7c4ac434ac
14218d0b42d0b48
15dd20619d1330
hex6d289db51ebc

120021212012220 has 432 divisors, whose sum is σ = 397757619517440. Its totient is φ = 29212037116416.

The previous prime is 120021212012213. The next prime is 120021212012243. The reversal of 120021212012220 is 22210212120021.

It is a happy number.

120021212012220 is a `hidden beast` number, since 1 + 200 + 21 + 21 + 201 + 2 + 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 = 120021212012193 and 120021212012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1331644797 + ... + 1331734923.

Almost surely, 2120021212012220 is an apocalyptic number.

120021212012220 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 120021212012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198878809758720).

120021212012220 is an abundant number, since it is smaller than the sum of its proper divisors (277736407505220).

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

120021212012220 is a wasteful number, since it uses less digits than its factorization.

120021212012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90682 (or 90648 counting only the distinct ones).

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

Adding to 120021212012220 its reverse (22210212120021), we get a palindrome (142231424132241).

The spelling of 120021212012220 in words is "one hundred twenty trillion, twenty-one billion, two hundred twelve million, twelve thousand, two hundred twenty".