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12021020111100 = 22352711131013071291
BaseRepresentation
bin1010111011101101110010…
…1000100011000011111100
31120120012100120010101101210
42232323130220203003330
53033423022122023400
641322214100004420
72350330041011160
oct256733450430374
946505316111353
1012021020111100
1139150a4513450
121421907390710
13692767526550
142d7b6b568ca0
1515ca634e1950
hexaeedca230fc

12021020111100 has 1152 divisors, whose sum is σ = 47351353319424. Its totient is φ = 2273702400000.

The previous prime is 12021020111099. The next prime is 12021020111101. The reversal of 12021020111100 is 111102012021.

It is an interprime number because it is at equal distance from previous prime (12021020111099) and next prime (12021020111101).

It is a super-2 number, since 2×120210201111002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021020111101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9311401455 + ... + 9311402745.

It is an arithmetic number, because the mean of its divisors is an integer number (41103605312).

Almost surely, 212021020111100 is an apocalyptic number.

12021020111100 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 12021020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675676659712).

12021020111100 is an abundant number, since it is smaller than the sum of its proper divisors (35330333208324).

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

12021020111100 is a wasteful number, since it uses less digits than its factorization.

12021020111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12021020111100 its reverse (111102012021), we get a palindrome (12132122123121).

The spelling of 12021020111100 in words is "twelve trillion, twenty-one billion, twenty million, one hundred eleven thousand, one hundred".