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12133011020 = 2251361765007
BaseRepresentation
bin10110100110010111…
…10000111001001100
31011022120101211011112
423103023300321030
5144322022323040
65323540311152
7606444614654
oct132313607114
934276354145
1012133011020
11516684a839
1224273a24b8
1311b4895980
14831563364
154b0296365
hex2d32f0e4c

12133011020 has 48 divisors (see below), whose sum is σ = 27889131648. Its totient is φ = 4406434560.

The previous prime is 12133011001. The next prime is 12133011031. The reversal of 12133011020 is 2011033121.

12133011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121330110202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12133010986 and 12133011004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366644 + ... + 398363.

It is an arithmetic number, because the mean of its divisors is an integer number (581023576).

Almost surely, 212133011020 is an apocalyptic number.

12133011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133011020 is an abundant number, since it is smaller than the sum of its proper divisors (15756120628).

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

12133011020 is a wasteful number, since it uses less digits than its factorization.

12133011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765090 (or 765088 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12133011020 its reverse (2011033121), we get a palindrome (14144044141).

The spelling of 12133011020 in words is "twelve billion, one hundred thirty-three million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 15860 765007 1530014 3060028 3825035 7650070 9945091 15300140 19890182 39780364 46665427 49725455 93330854 99450910 186661708 198901820 233327135 466654270 606650551 933308540 1213301102 2426602204 3033252755 6066505510 12133011020