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12022102350 = 2335215675683
BaseRepresentation
bin10110011001001001…
…01011100101001110
31011000211201002002000
423030210223211032
5144110124233400
65304535213130
7603630120036
oct131444534516
934024632060
1012022102350
11510a188485
1223b62171a6
131197902b3b
148209328c6
154a5689600
hex2cc92b94e

12022102350 has 96 divisors (see below), whose sum is σ = 33154544640. Its totient is φ = 3203284320.

The previous prime is 12022102349. The next prime is 12022102387. The reversal of 12022102350 is 5320122021.

12022102350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2112609 + ... + 2118291.

It is an arithmetic number, because the mean of its divisors is an integer number (345359840).

Almost surely, 212022102350 is an apocalyptic number.

12022102350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022102350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577272320).

12022102350 is an abundant number, since it is smaller than the sum of its proper divisors (21132442290).

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

12022102350 is a wasteful number, since it uses less digits than its factorization.

12022102350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12022102350 its reverse (5320122021), we get a palindrome (17342224371).

The spelling of 12022102350 in words is "twelve billion, twenty-two million, one hundred two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 1567 3134 4701 5683 7835 9402 11366 14103 15670 17049 23505 28206 28415 34098 39175 42309 47010 51147 56830 70515 78350 84618 85245 102294 117525 141030 142075 153441 170490 211545 235050 255735 284150 306882 352575 423090 426225 511470 705150 767205 852450 1057725 1278675 1534410 2115450 2557350 3836025 7672050 8905261 17810522 26715783 44526305 53431566 80147349 89052610 133578915 160294698 222631525 240442047 267157830 400736745 445263050 480884094 667894575 801473490 1202210235 1335789150 2003683725 2404420470 4007367450 6011051175 12022102350