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12010001112120 = 233511179311353463
BaseRepresentation
bin1010111011000100101111…
…0110011001110000111000
31120112010220121221020110110
42232301023312121300320
53033232440241041440
641313152432344320
72346460011035544
oct256611366316070
946463817836413
1012010001112120
11391045a589420
12141b7510a50a0
136916cc6a92cb
142d7403d50a24
1515c61ae4d080
hexaec4bd99c38

12010001112120 has 512 divisors, whose sum is σ = 39850345267200. Its totient is φ = 2871549542400.

The previous prime is 12010001112119. The next prime is 12010001112139. The reversal of 12010001112120 is 2121110001021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12010001112096 and 12010001112105.

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 127 ways as a sum of consecutive naturals, for example, 25939527009 + ... + 25939527471.

It is an arithmetic number, because the mean of its divisors is an integer number (77832705600).

Almost surely, 212010001112120 is an apocalyptic number.

12010001112120 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 12010001112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925172633600).

12010001112120 is an abundant number, since it is smaller than the sum of its proper divisors (27840344155080).

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

12010001112120 is a wasteful number, since it uses less digits than its factorization.

12010001112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1327 counting only the distinct ones).

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

Adding to 12010001112120 its reverse (2121110001021), we get a palindrome (14131111113141).

It can be divided in two parts, 12010001 and 112120, that added together give a palindrome (12122121).

The spelling of 12010001112120 in words is "twelve trillion, ten billion, one million, one hundred twelve thousand, one hundred twenty".