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12021131022120 = 233251118133594993
BaseRepresentation
bin1010111011101110001100…
…1111101000111100101000
31120120012122021211020201100
42232323203033220330220
53033423234020201440
641322233101121400
72350332555516003
oct256734317507450
946505567736640
1012021131022120
113915151087550
121421938559260
136927844ba47c
142d7b7c19a53a
1515ca6d0ee230
hexaeee33e8f28

12021131022120 has 384 divisors, whose sum is σ = 42877189555200. Its totient is φ = 2896669900800.

The previous prime is 12021131022119. The next prime is 12021131022143. The reversal of 12021131022120 is 2122013112021.

12021131022120 is a `hidden beast` number, since 1 + 2 + 0 + 211 + 310 + 22 + 120 = 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 = 12021131022093 and 12021131022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2407594344 + ... + 2407599336.

It is an arithmetic number, because the mean of its divisors is an integer number (111659347800).

Almost surely, 212021131022120 is an apocalyptic number.

12021131022120 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 12021131022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438594777600).

12021131022120 is an abundant number, since it is smaller than the sum of its proper divisors (30856058533080).

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

12021131022120 is a wasteful number, since it uses less digits than its factorization.

12021131022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8561 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12021131022120 its reverse (2122013112021), we get a palindrome (14143144134141).

The spelling of 12021131022120 in words is "twelve trillion, twenty-one billion, one hundred thirty-one million, twenty-two thousand, one hundred twenty".