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12033232020 = 223457427921
BaseRepresentation
bin10110011010011110…
…01000110010010100
31011001121122112010000
423031033020302110
5144121001411040
65310013531300
7604123533045
oct131517106224
934047575100
1012033232020
11511549a357
1223b9aa3b30
131199ccb944
148221cc8cc
154a6637130
hex2cd3c8c94

12033232020 has 60 divisors (see below), whose sum is σ = 37748699604. Its totient is φ = 3208861440.

The previous prime is 12033231997. The next prime is 12033232021. The reversal of 12033232020 is 2023233021.

It is a happy number.

12033232020 is a `hidden beast` number, since 12 + 0 + 332 + 320 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8566613136 + 3466618884 = 92556^2 + 58878^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 12033231984 and 12033232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033232021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3712341 + ... + 3715580.

Almost surely, 212033232020 is an apocalyptic number.

12033232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033232020 is an abundant number, since it is smaller than the sum of its proper divisors (25715467584).

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

12033232020 is a wasteful number, since it uses less digits than its factorization.

12033232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427942 (or 7427931 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12033232020 its reverse (2023233021), we get a palindrome (14056465041).

The spelling of 12033232020 in words is "twelve billion, thirty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7427921 14855842 22283763 29711684 37139605 44567526 66851289 74279210 89135052 111418815 133702578 148558420 200553867 222837630 267405156 334256445 401107734 445675260 601661601 668512890 802215468 1002769335 1203323202 1337025780 2005538670 2406646404 3008308005 4011077340 6016616010 12033232020