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121202210022120 = 2335516937365247
BaseRepresentation
bin11011100011101110010110…
…101011001010001011101000
3120220010211002102000220100000
4123203232112223022023220
5111341234111231201440
61105435305425543000
734346366515600323
oct3343562653121350
9526124072026300
10121202210022120
1135689628905667
1211715972aa4a60
13528241c844976
1421d030acc37ba
15e02b3338c730
hex6e3b96aca2e8

121202210022120 has 192 divisors, whose sum is σ = 408737678469120. Its totient is φ = 32301494233344.

The previous prime is 121202210022097. The next prime is 121202210022151. The reversal of 121202210022120 is 21220012202121.

It is a happy number.

121202210022120 is a `hidden beast` number, since 1 + 212 + 0 + 2 + 210 + 0 + 221 + 20 = 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 = 121202210022093 and 121202210022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12773337 + ... + 20138583.

It is an arithmetic number, because the mean of its divisors is an integer number (2128842075360).

Almost surely, 2121202210022120 is an apocalyptic number.

121202210022120 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 121202210022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204368839234560).

121202210022120 is an abundant number, since it is smaller than the sum of its proper divisors (287535468447000).

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

121202210022120 is a wasteful number, since it uses less digits than its factorization.

121202210022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366966 (or 7366950 counting only the distinct ones).

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

Adding to 121202210022120 its reverse (21220012202121), we get a palindrome (142422222224241).

The spelling of 121202210022120 in words is "one hundred twenty-one trillion, two hundred two billion, two hundred ten million, twenty-two thousand, one hundred twenty".