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121121120210020 = 225717437833373
BaseRepresentation
bin11011100010100010110101…
…010110000100110001100100
3120212212001210010020122011221
4123202202311112010301210
5111333422023233210040
61105334135141510124
734340466161554060
oct3342426526046144
9525761703218157
10121121120210020
11356581a6812627
1211702102112344
1352778989b8428
1421ca4174dcaa0
15e0098939b74a
hex6e28b5584c64

121121120210020 has 480 divisors, whose sum is σ = 321123106660608. Its totient is φ = 37558816874496.

The previous prime is 121121120209951. The next prime is 121121120210033. The reversal of 121121120210020 is 20012021121121.

It is a junction number, because it is equal to n+sod(n) for n = 121121120209976 and 121121120210003.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35909017054 + ... + 35909020426.

Almost surely, 2121121120210020 is an apocalyptic number.

121121120210020 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 121121120210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160561553330304).

121121120210020 is an abundant number, since it is smaller than the sum of its proper divisors (200001986450588).

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

121121120210020 is an equidigital number, since it uses as much as digits as its factorization.

121121120210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121121120210020 its reverse (20012021121121), we get a palindrome (141133141331141).

The spelling of 121121120210020 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, two hundred ten thousand, twenty".