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12202133020 = 22571179100297
BaseRepresentation
bin10110101110100110…
…11100011000011100
31011111101110120201121
423113103130120130
5144442221224040
65334450020324
7611244263560
oct132723343034
934441416647
1012202133020
1151a1871160
1224465776a4
1311c5cb796c
1483a7d76a0
154b639bc4a
hex2d74dc61c

12202133020 has 96 divisors (see below), whose sum is σ = 32352122880. Its totient is φ = 3755082240.

The previous prime is 12202133017. The next prime is 12202133057. The reversal of 12202133020 is 2033120221.

It is a junction number, because it is equal to n+sod(n) for n = 12202132985 and 12202133003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71512 + ... + 171808.

It is an arithmetic number, because the mean of its divisors is an integer number (337001280).

Almost surely, 212202133020 is an apocalyptic number.

12202133020 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 12202133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176061440).

12202133020 is an abundant number, since it is smaller than the sum of its proper divisors (20149989860).

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

12202133020 is a wasteful number, since it uses less digits than its factorization.

12202133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100403 (or 100401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12202133020 its reverse (2033120221), we get a palindrome (14235253241).

The spelling of 12202133020 in words is "twelve billion, two hundred two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 140 154 158 220 308 316 385 395 553 770 790 869 1106 1540 1580 1738 2212 2765 3476 4345 5530 6083 8690 11060 12166 17380 24332 30415 60830 100297 121660 200594 401188 501485 702079 1002970 1103267 1404158 2005940 2206534 2808316 3510395 4413068 5516335 7020790 7722869 7923463 11032670 14041580 15445738 15846926 22065340 30891476 31693852 38614345 39617315 55464241 77228690 79234630 87158093 110928482 154457380 158469260 174316186 221856964 277321205 348632372 435790465 554642410 610106651 871580930 1109284820 1220213302 1743161860 2440426604 3050533255 6101066510 12202133020