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121022312220 = 223451929135581
BaseRepresentation
bin111000010110101111…
…1011110111100011100
3102120101020211110020000
41300231133132330130
53440323202442340
6131332532054300
711513021452335
oct1605537367434
9376336743200
10121022312220
1147363a38457
121b556164390
13b548c37244
145c0102128c
153234ae2d30
hex1c2d7def1c

121022312220 has 240 divisors, whose sum is σ = 413416634400. Its totient is φ = 29519562240.

The previous prime is 121022312219. The next prime is 121022312261. The reversal of 121022312220 is 22213220121.

121022312220 is a `hidden beast` number, since 1 + 210 + 2 + 231 + 2 + 220 = 666.

It is a super-2 number, since 2×1210223122202 (a number of 23 digits) contains 22 as substring.

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 = 121022312193 and 121022312202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 824830 + ... + 960410.

It is an arithmetic number, because the mean of its divisors is an integer number (1722569310).

Almost surely, 2121022312220 is an apocalyptic number.

121022312220 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 121022312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206708317200).

121022312220 is an abundant number, since it is smaller than the sum of its proper divisors (292394322180).

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

121022312220 is a wasteful number, since it uses less digits than its factorization.

121022312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135650 (or 135639 counting only the distinct ones).

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

Adding to 121022312220 its reverse (22213220121), we get a palindrome (143235532341).

The spelling of 121022312220 in words is "one hundred twenty-one billion, twenty-two million, three hundred twelve thousand, two hundred twenty".