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12222153072 = 2433187715073
BaseRepresentation
bin10110110000111111…
…10100000101110000
31011112210010201002000
423120133310011300
5200012332344242
65340443054000
7611606405223
oct133037640560
934483121060
1012222153072
1152020a5558
122451211300
1311ca1a724c
1483d3295ba
154b8003a4c
hex2d87f4170

12222153072 has 80 divisors (see below), whose sum is σ = 35103125280. Its totient is φ = 4071610368.

The previous prime is 12222153029. The next prime is 12222153091. The reversal of 12222153072 is 27035122221.

12222153072 is a `hidden beast` number, since 122 + 2 + 2 + 1 + 530 + 7 + 2 = 666.

12222153072 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 (27).

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 15 ways as a sum of consecutive naturals, for example, 803328 + ... + 818400.

It is an arithmetic number, because the mean of its divisors is an integer number (438789066).

Almost surely, 212222153072 is an apocalyptic number.

12222153072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12222153072 is an abundant number, since it is smaller than the sum of its proper divisors (22880972208).

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

12222153072 is a wasteful number, since it uses less digits than its factorization.

12222153072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16967 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12222153072 its reverse (27035122221), we get a palindrome (39257275293).

The spelling of 12222153072 in words is "twelve billion, two hundred twenty-two million, one hundred fifty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1877 3754 5631 7508 11262 15016 15073 16893 22524 30032 30146 33786 45048 45219 50679 60292 67572 90096 90438 101358 120584 135144 135657 180876 202716 241168 270288 271314 361752 405432 406971 542628 723504 810864 813942 1085256 1627884 2170512 3255768 6511536 28292021 56584042 84876063 113168084 169752126 226336168 254628189 339504252 452672336 509256378 679008504 763884567 1018512756 1358017008 1527769134 2037025512 3055538268 4074051024 6111076536 12222153072