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121321132020 = 223351154737339
BaseRepresentation
bin111000011111101001…
…1011000111111110100
3102121011002010001221000
41300333103120333310
53441431202211040
6131422324523300
711523310415154
oct1607723307764
9377132101830
10121321132020
11474a7686170
121b61a250530
13b595b10aaa
145c2c9a8764
153250e6c130
hex1c3f4d8ff4

121321132020 has 192 divisors, whose sum is σ = 412520371200. Its totient is φ = 29356629120.

The previous prime is 121321131991. The next prime is 121321132103. The reversal of 121321132020 is 20231123121.

121321132020 is a `hidden beast` number, since 1 + 2 + 1 + 321 + 1 + 320 + 20 = 666.

It is a super-2 number, since 2×1213211320202 (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 = 121321131984 and 121321132002.

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 63 ways as a sum of consecutive naturals, for example, 3230511 + ... + 3267849.

It is an arithmetic number, because the mean of its divisors is an integer number (2148543600).

Almost surely, 2121321132020 is an apocalyptic number.

121321132020 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 121321132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206260185600).

121321132020 is an abundant number, since it is smaller than the sum of its proper divisors (291199239180).

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

121321132020 is a wasteful number, since it uses less digits than its factorization.

121321132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37915 (or 37907 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121321132020 its reverse (20231123121), we get a palindrome (141552255141).

The spelling of 121321132020 in words is "one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-two thousand, twenty".